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Finding the Fourth Proportional to 7,822.38, 10,787.40 and 7,249.71

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Solution

The fourth proportional to 7,822.38, 10,787.40 and 7,249.71 is: 9,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.38 : 10,787.40 = 7,249.71 : x
  2. Step 2: Convert to fraction form
    7,822.38/10,787.40 = 7,249.71/x
  3. Step 3: Cross multiply
    7,822.38x = 10,787.40 × 7,249.71
  4. Step 4: Simplify right side
    7,822.38x = 78,205,521.65
  5. Step 5: Solve for x
    x = 78,205,521.65/7,822.38
  6. Step 6: Final answer
    x = 9,997.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.