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Finding the Fourth Proportional to 7,139.38, 10,707.02 and 2,459.20

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Solution

The fourth proportional to 7,139.38, 10,707.02 and 2,459.20 is: 3,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.38 : 10,707.02 = 2,459.20 : x
  2. Step 2: Convert to fraction form
    7,139.38/10,707.02 = 2,459.20/x
  3. Step 3: Cross multiply
    7,139.38x = 10,707.02 × 2,459.20
  4. Step 4: Simplify right side
    7,139.38x = 26,330,691.29
  5. Step 5: Solve for x
    x = 26,330,691.29/7,139.38
  6. Step 6: Final answer
    x = 3,688.09

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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.