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Finding the Fourth Proportional to 7,429.20, 10,255.86 and 5,935.56

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Solution

The fourth proportional to 7,429.20, 10,255.86 and 5,935.56 is: 8,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.20 : 10,255.86 = 5,935.56 : x
  2. Step 2: Convert to fraction form
    7,429.20/10,255.86 = 5,935.56/x
  3. Step 3: Cross multiply
    7,429.20x = 10,255.86 × 5,935.56
  4. Step 4: Simplify right side
    7,429.20x = 60,874,272.38
  5. Step 5: Solve for x
    x = 60,874,272.38/7,429.20
  6. Step 6: Final answer
    x = 8,193.92

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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.