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Finding the Fourth Proportional to 8,726.25, 12,042.14 and 5,189.39

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Solution

The fourth proportional to 8,726.25, 12,042.14 and 5,189.39 is: 7,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.25 : 12,042.14 = 5,189.39 : x
  2. Step 2: Convert to fraction form
    8,726.25/12,042.14 = 5,189.39/x
  3. Step 3: Cross multiply
    8,726.25x = 12,042.14 × 5,189.39
  4. Step 4: Simplify right side
    8,726.25x = 62,491,274.74
  5. Step 5: Solve for x
    x = 62,491,274.74/8,726.25
  6. Step 6: Final answer
    x = 7,161.30

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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.