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Finding the Fourth Proportional to 10,457.43, 15,686.05 and 4,614.04

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Solution

The fourth proportional to 10,457.43, 15,686.05 and 4,614.04 is: 6,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.43 : 15,686.05 = 4,614.04 : x
  2. Step 2: Convert to fraction form
    10,457.43/15,686.05 = 4,614.04/x
  3. Step 3: Cross multiply
    10,457.43x = 15,686.05 × 4,614.04
  4. Step 4: Simplify right side
    10,457.43x = 72,376,062.14
  5. Step 5: Solve for x
    x = 72,376,062.14/10,457.43
  6. Step 6: Final answer
    x = 6,921.02

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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.