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Finding the Fourth Proportional to 7,747.54, 10,691.76 and 4,210.97

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Solution

The fourth proportional to 7,747.54, 10,691.76 and 4,210.97 is: 5,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.54 : 10,691.76 = 4,210.97 : x
  2. Step 2: Convert to fraction form
    7,747.54/10,691.76 = 4,210.97/x
  3. Step 3: Cross multiply
    7,747.54x = 10,691.76 × 4,210.97
  4. Step 4: Simplify right side
    7,747.54x = 45,022,680.61
  5. Step 5: Solve for x
    x = 45,022,680.61/7,747.54
  6. Step 6: Final answer
    x = 5,811.22

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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.