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Finding the Fourth Proportional to 7,884,092.60, 11,826,138.90 and 7,884,092.60

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Solution

The fourth proportional to 7,884,092.60, 11,826,138.90 and 7,884,092.60 is: 11,826,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884,092.60 : 11,826,138.90 = 7,884,092.60 : x
  2. Step 2: Convert to fraction form
    7,884,092.60/11,826,138.90 = 7,884,092.60/x
  3. Step 3: Cross multiply
    7,884,092.60x = 11,826,138.90 × 7,884,092.60
  4. Step 4: Simplify right side
    7,884,092.60x = 93,238,374,188,062.14
  5. Step 5: Solve for x
    x = 93,238,374,188,062.14/7,884,092.60
  6. Step 6: Final answer
    x = 11,826,138.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.