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Finding the Fourth Proportional to 7,789.50, 10,749.49 and 4,252.71

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Solution

The fourth proportional to 7,789.50, 10,749.49 and 4,252.71 is: 5,868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.50 : 10,749.49 = 4,252.71 : x
  2. Step 2: Convert to fraction form
    7,789.50/10,749.49 = 4,252.71/x
  3. Step 3: Cross multiply
    7,789.50x = 10,749.49 × 4,252.71
  4. Step 4: Simplify right side
    7,789.50x = 45,714,463.62
  5. Step 5: Solve for x
    x = 45,714,463.62/7,789.50
  6. Step 6: Final answer
    x = 5,868.73

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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.