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Finding the Fourth Proportional to 8,221.41, 11,342.96 and 5,031.38

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Solution

The fourth proportional to 8,221.41, 11,342.96 and 5,031.38 is: 6,941.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.41 : 11,342.96 = 5,031.38 : x
  2. Step 2: Convert to fraction form
    8,221.41/11,342.96 = 5,031.38/x
  3. Step 3: Cross multiply
    8,221.41x = 11,342.96 × 5,031.38
  4. Step 4: Simplify right side
    8,221.41x = 57,070,660.21
  5. Step 5: Solve for x
    x = 57,070,660.21/8,221.41
  6. Step 6: Final answer
    x = 6,941.72

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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.