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Finding the Fourth Proportional to 8,476.14, 11,691.60 and 5,326.86

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Solution

The fourth proportional to 8,476.14, 11,691.60 and 5,326.86 is: 7,347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.14 : 11,691.60 = 5,326.86 : x
  2. Step 2: Convert to fraction form
    8,476.14/11,691.60 = 5,326.86/x
  3. Step 3: Cross multiply
    8,476.14x = 11,691.60 × 5,326.86
  4. Step 4: Simplify right side
    8,476.14x = 62,279,516.38
  5. Step 5: Solve for x
    x = 62,279,516.38/8,476.14
  6. Step 6: Final answer
    x = 7,347.63

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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.