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Finding the Fourth Proportional to 6,177.71, 8,508.12 and 5,338.14

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Solution

The fourth proportional to 6,177.71, 8,508.12 and 5,338.14 is: 7,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.71 : 8,508.12 = 5,338.14 : x
  2. Step 2: Convert to fraction form
    6,177.71/8,508.12 = 5,338.14/x
  3. Step 3: Cross multiply
    6,177.71x = 8,508.12 × 5,338.14
  4. Step 4: Simplify right side
    6,177.71x = 45,417,535.70
  5. Step 5: Solve for x
    x = 45,417,535.70/6,177.71
  6. Step 6: Final answer
    x = 7,351.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.