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Finding the Fourth Proportional to 10,471.64, 15,707.43 and 2,574.19

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Solution

The fourth proportional to 10,471.64, 15,707.43 and 2,574.19 is: 3,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.64 : 15,707.43 = 2,574.19 : x
  2. Step 2: Convert to fraction form
    10,471.64/15,707.43 = 2,574.19/x
  3. Step 3: Cross multiply
    10,471.64x = 15,707.43 × 2,574.19
  4. Step 4: Simplify right side
    10,471.64x = 40,433,869.96
  5. Step 5: Solve for x
    x = 40,433,869.96/10,471.64
  6. Step 6: Final answer
    x = 3,861.27

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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.