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Finding the Fourth Proportional to 10,085.28, 15,125.92 and 9,585.20

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Solution

The fourth proportional to 10,085.28, 15,125.92 and 9,585.20 is: 14,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.28 : 15,125.92 = 9,585.20 : x
  2. Step 2: Convert to fraction form
    10,085.28/15,125.92 = 9,585.20/x
  3. Step 3: Cross multiply
    10,085.28x = 15,125.92 × 9,585.20
  4. Step 4: Simplify right side
    10,085.28x = 144,984,968.38
  5. Step 5: Solve for x
    x = 144,984,968.38/10,085.28
  6. Step 6: Final answer
    x = 14,375.90

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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.