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Finding the Fourth Proportional to 6,754.46, 10,117.85 and 3,972.71

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Solution

The fourth proportional to 6,754.46, 10,117.85 and 3,972.71 is: 5,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.46 : 10,117.85 = 3,972.71 : x
  2. Step 2: Convert to fraction form
    6,754.46/10,117.85 = 3,972.71/x
  3. Step 3: Cross multiply
    6,754.46x = 10,117.85 × 3,972.71
  4. Step 4: Simplify right side
    6,754.46x = 40,195,289.30
  5. Step 5: Solve for x
    x = 40,195,289.30/6,754.46
  6. Step 6: Final answer
    x = 5,950.93

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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.