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Finding the Fourth Proportional to 10,439.10, 15,641.04 and 5,167.08

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Solution

The fourth proportional to 10,439.10, 15,641.04 and 5,167.08 is: 7,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.10 : 15,641.04 = 5,167.08 : x
  2. Step 2: Convert to fraction form
    10,439.10/15,641.04 = 5,167.08/x
  3. Step 3: Cross multiply
    10,439.10x = 15,641.04 × 5,167.08
  4. Step 4: Simplify right side
    10,439.10x = 80,818,504.96
  5. Step 5: Solve for x
    x = 80,818,504.96/10,439.10
  6. Step 6: Final answer
    x = 7,741.90

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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.