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Finding the Fourth Proportional to 10,004.61, 15,010.96 and 4,454.16

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Solution

The fourth proportional to 10,004.61, 15,010.96 and 4,454.16 is: 6,683.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.61 : 15,010.96 = 4,454.16 : x
  2. Step 2: Convert to fraction form
    10,004.61/15,010.96 = 4,454.16/x
  3. Step 3: Cross multiply
    10,004.61x = 15,010.96 × 4,454.16
  4. Step 4: Simplify right side
    10,004.61x = 66,861,278.91
  5. Step 5: Solve for x
    x = 66,861,278.91/10,004.61
  6. Step 6: Final answer
    x = 6,683.04

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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.