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Finding the Fourth Proportional to 7,884,097.10, 11,826,145.65 and 7,884,097.10

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Solution

The fourth proportional to 7,884,097.10, 11,826,145.65 and 7,884,097.10 is: 11,826,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884,097.10 : 11,826,145.65 = 7,884,097.10 : x
  2. Step 2: Convert to fraction form
    7,884,097.10/11,826,145.65 = 7,884,097.10/x
  3. Step 3: Cross multiply
    7,884,097.10x = 11,826,145.65 × 7,884,097.10
  4. Step 4: Simplify right side
    7,884,097.10x = 93,238,480,623,342.61
  5. Step 5: Solve for x
    x = 93,238,480,623,342.61/7,884,097.10
  6. Step 6: Final answer
    x = 11,826,145.65

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