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Finding the Fourth Proportional to 10,287.20, 15,432 and 4,046.40

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Solution

The fourth proportional to 10,287.20, 15,432 and 4,046.40 is: 6,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.20 : 15,432 = 4,046.40 : x
  2. Step 2: Convert to fraction form
    10,287.20/15,432 = 4,046.40/x
  3. Step 3: Cross multiply
    10,287.20x = 15,432 × 4,046.40
  4. Step 4: Simplify right side
    10,287.20x = 62,444,044.80
  5. Step 5: Solve for x
    x = 62,444,044.80/10,287.20
  6. Step 6: Final answer
    x = 6,070.07

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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.