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Finding the Fourth Proportional to 7,747.79, 10,691.87 and 4,210.92

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Solution

The fourth proportional to 7,747.79, 10,691.87 and 4,210.92 is: 5,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.79 : 10,691.87 = 4,210.92 : x
  2. Step 2: Convert to fraction form
    7,747.79/10,691.87 = 4,210.92/x
  3. Step 3: Cross multiply
    7,747.79x = 10,691.87 × 4,210.92
  4. Step 4: Simplify right side
    7,747.79x = 45,022,588.17
  5. Step 5: Solve for x
    x = 45,022,588.17/7,747.79
  6. Step 6: Final answer
    x = 5,811.03

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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.