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Finding the Fourth Proportional to 10,901.82, 15,042.71 and 6,424.97

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Solution

The fourth proportional to 10,901.82, 15,042.71 and 6,424.97 is: 8,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.82 : 15,042.71 = 6,424.97 : x
  2. Step 2: Convert to fraction form
    10,901.82/15,042.71 = 6,424.97/x
  3. Step 3: Cross multiply
    10,901.82x = 15,042.71 × 6,424.97
  4. Step 4: Simplify right side
    10,901.82x = 96,648,853.13
  5. Step 5: Solve for x
    x = 96,648,853.13/10,901.82
  6. Step 6: Final answer
    x = 8,865.39

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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.