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Finding the Fourth Proportional to 10,957.97, 15,121.76 and 6,177.92

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Solution

The fourth proportional to 10,957.97, 15,121.76 and 6,177.92 is: 8,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.97 : 15,121.76 = 6,177.92 : x
  2. Step 2: Convert to fraction form
    10,957.97/15,121.76 = 6,177.92/x
  3. Step 3: Cross multiply
    10,957.97x = 15,121.76 × 6,177.92
  4. Step 4: Simplify right side
    10,957.97x = 93,420,963.38
  5. Step 5: Solve for x
    x = 93,420,963.38/10,957.97
  6. Step 6: Final answer
    x = 8,525.39

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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.