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Finding the Fourth Proportional to 10,407.52, 15,614.88 and 6,028.80

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Solution

The fourth proportional to 10,407.52, 15,614.88 and 6,028.80 is: 9,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.52 : 15,614.88 = 6,028.80 : x
  2. Step 2: Convert to fraction form
    10,407.52/15,614.88 = 6,028.80/x
  3. Step 3: Cross multiply
    10,407.52x = 15,614.88 × 6,028.80
  4. Step 4: Simplify right side
    10,407.52x = 94,138,988.54
  5. Step 5: Solve for x
    x = 94,138,988.54/10,407.52
  6. Step 6: Final answer
    x = 9,045.29

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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.