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Finding the Fourth Proportional to 10,540.97, 15,803.76 and 6,092.36

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Solution

The fourth proportional to 10,540.97, 15,803.76 and 6,092.36 is: 9,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.97 : 15,803.76 = 6,092.36 : x
  2. Step 2: Convert to fraction form
    10,540.97/15,803.76 = 6,092.36/x
  3. Step 3: Cross multiply
    10,540.97x = 15,803.76 × 6,092.36
  4. Step 4: Simplify right side
    10,540.97x = 96,282,116.25
  5. Step 5: Solve for x
    x = 96,282,116.25/10,540.97
  6. Step 6: Final answer
    x = 9,134.09

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