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Finding the Fourth Proportional to 7,691.84, 10,620.42 and 4,711.74

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Solution

The fourth proportional to 7,691.84, 10,620.42 and 4,711.74 is: 6,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.84 : 10,620.42 = 4,711.74 : x
  2. Step 2: Convert to fraction form
    7,691.84/10,620.42 = 4,711.74/x
  3. Step 3: Cross multiply
    7,691.84x = 10,620.42 × 4,711.74
  4. Step 4: Simplify right side
    7,691.84x = 50,040,657.73
  5. Step 5: Solve for x
    x = 50,040,657.73/7,691.84
  6. Step 6: Final answer
    x = 6,505.69

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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.