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Finding the Fourth Proportional to 7,753.92, 10,704.80 and 5,105.76

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Solution

The fourth proportional to 7,753.92, 10,704.80 and 5,105.76 is: 7,048.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.92 : 10,704.80 = 5,105.76 : x
  2. Step 2: Convert to fraction form
    7,753.92/10,704.80 = 5,105.76/x
  3. Step 3: Cross multiply
    7,753.92x = 10,704.80 × 5,105.76
  4. Step 4: Simplify right side
    7,753.92x = 54,656,139.65
  5. Step 5: Solve for x
    x = 54,656,139.65/7,753.92
  6. Step 6: Final answer
    x = 7,048.84

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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.