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Finding the Fourth Proportional to 10,901.93, 15,044.82 and 6,122.90

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Solution

The fourth proportional to 10,901.93, 15,044.82 and 6,122.90 is: 8,449.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.93 : 15,044.82 = 6,122.90 : x
  2. Step 2: Convert to fraction form
    10,901.93/15,044.82 = 6,122.90/x
  3. Step 3: Cross multiply
    10,901.93x = 15,044.82 × 6,122.90
  4. Step 4: Simplify right side
    10,901.93x = 92,117,935.38
  5. Step 5: Solve for x
    x = 92,117,935.38/10,901.93
  6. Step 6: Final answer
    x = 8,449.69

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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.