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Finding the Fourth Proportional to 6,711.76, 10,059.14 and 3,791.71

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Solution

The fourth proportional to 6,711.76, 10,059.14 and 3,791.71 is: 5,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.76 : 10,059.14 = 3,791.71 : x
  2. Step 2: Convert to fraction form
    6,711.76/10,059.14 = 3,791.71/x
  3. Step 3: Cross multiply
    6,711.76x = 10,059.14 × 3,791.71
  4. Step 4: Simplify right side
    6,711.76x = 38,141,322.77
  5. Step 5: Solve for x
    x = 38,141,322.77/6,711.76
  6. Step 6: Final answer
    x = 5,682.76

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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.