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Finding the Fourth Proportional to 8,348.38, 11,496.27 and 7,463.86

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Solution

The fourth proportional to 8,348.38, 11,496.27 and 7,463.86 is: 10,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.38 : 11,496.27 = 7,463.86 : x
  2. Step 2: Convert to fraction form
    8,348.38/11,496.27 = 7,463.86/x
  3. Step 3: Cross multiply
    8,348.38x = 11,496.27 × 7,463.86
  4. Step 4: Simplify right side
    8,348.38x = 85,806,549.80
  5. Step 5: Solve for x
    x = 85,806,549.80/8,348.38
  6. Step 6: Final answer
    x = 10,278.23

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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.