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Finding the Fourth Proportional to 7,792.38, 10,747.89 and 7,535.34

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Solution

The fourth proportional to 7,792.38, 10,747.89 and 7,535.34 is: 10,393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.38 : 10,747.89 = 7,535.34 : x
  2. Step 2: Convert to fraction form
    7,792.38/10,747.89 = 7,535.34/x
  3. Step 3: Cross multiply
    7,792.38x = 10,747.89 × 7,535.34
  4. Step 4: Simplify right side
    7,792.38x = 80,989,005.43
  5. Step 5: Solve for x
    x = 80,989,005.43/7,792.38
  6. Step 6: Final answer
    x = 10,393.36

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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.