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Finding the Fourth Proportional to 10,616.67, 15,921.97 and 4,042.31

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Solution

The fourth proportional to 10,616.67, 15,921.97 and 4,042.31 is: 6,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.67 : 15,921.97 = 4,042.31 : x
  2. Step 2: Convert to fraction form
    10,616.67/15,921.97 = 4,042.31/x
  3. Step 3: Cross multiply
    10,616.67x = 15,921.97 × 4,042.31
  4. Step 4: Simplify right side
    10,616.67x = 64,361,448.84
  5. Step 5: Solve for x
    x = 64,361,448.84/10,616.67
  6. Step 6: Final answer
    x = 6,062.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.