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Finding the Fourth Proportional to 11,367, 15,685.98 and 6,332.04

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Solution

The fourth proportional to 11,367, 15,685.98 and 6,332.04 is: 8,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367 : 15,685.98 = 6,332.04 : x
  2. Step 2: Convert to fraction form
    11,367/15,685.98 = 6,332.04/x
  3. Step 3: Cross multiply
    11,367x = 15,685.98 × 6,332.04
  4. Step 4: Simplify right side
    11,367x = 99,324,252.80
  5. Step 5: Solve for x
    x = 99,324,252.80/11,367
  6. Step 6: Final answer
    x = 8,737.95

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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.