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Finding the Fourth Proportional to 7,752.92, 11,631.80 and 2,562.44

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Solution

The fourth proportional to 7,752.92, 11,631.80 and 2,562.44 is: 3,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.92 : 11,631.80 = 2,562.44 : x
  2. Step 2: Convert to fraction form
    7,752.92/11,631.80 = 2,562.44/x
  3. Step 3: Cross multiply
    7,752.92x = 11,631.80 × 2,562.44
  4. Step 4: Simplify right side
    7,752.92x = 29,805,789.59
  5. Step 5: Solve for x
    x = 29,805,789.59/7,752.92
  6. Step 6: Final answer
    x = 3,844.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.