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Finding the Fourth Proportional to 8,092.40, 11,352.40 and 8,092.40

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Solution

The fourth proportional to 8,092.40, 11,352.40 and 8,092.40 is: 11,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.40 : 11,352.40 = 8,092.40 : x
  2. Step 2: Convert to fraction form
    8,092.40/11,352.40 = 8,092.40/x
  3. Step 3: Cross multiply
    8,092.40x = 11,352.40 × 8,092.40
  4. Step 4: Simplify right side
    8,092.40x = 91,868,161.76
  5. Step 5: Solve for x
    x = 91,868,161.76/8,092.40
  6. Step 6: Final answer
    x = 11,352.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.