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Finding the Fourth Proportional to 10,471.59, 15,707.36 and 4,231.53

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Solution

The fourth proportional to 10,471.59, 15,707.36 and 4,231.53 is: 6,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.59 : 15,707.36 = 4,231.53 : x
  2. Step 2: Convert to fraction form
    10,471.59/15,707.36 = 4,231.53/x
  3. Step 3: Cross multiply
    10,471.59x = 15,707.36 × 4,231.53
  4. Step 4: Simplify right side
    10,471.59x = 66,466,143.90
  5. Step 5: Solve for x
    x = 66,466,143.90/10,471.59
  6. Step 6: Final answer
    x = 6,347.28

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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.