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Finding the Fourth Proportional to 6,882.81, 10,309.10 and 5,146.17

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Solution

The fourth proportional to 6,882.81, 10,309.10 and 5,146.17 is: 7,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.81 : 10,309.10 = 5,146.17 : x
  2. Step 2: Convert to fraction form
    6,882.81/10,309.10 = 5,146.17/x
  3. Step 3: Cross multiply
    6,882.81x = 10,309.10 × 5,146.17
  4. Step 4: Simplify right side
    6,882.81x = 53,052,355.42
  5. Step 5: Solve for x
    x = 53,052,355.42/6,882.81
  6. Step 6: Final answer
    x = 7,707.95

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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.