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Finding the Fourth Proportional to 11,543.58, 15,943.28 and 7,760.18

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Solution

The fourth proportional to 11,543.58, 15,943.28 and 7,760.18 is: 10,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.58 : 15,943.28 = 7,760.18 : x
  2. Step 2: Convert to fraction form
    11,543.58/15,943.28 = 7,760.18/x
  3. Step 3: Cross multiply
    11,543.58x = 15,943.28 × 7,760.18
  4. Step 4: Simplify right side
    11,543.58x = 123,722,722.59
  5. Step 5: Solve for x
    x = 123,722,722.59/11,543.58
  6. Step 6: Final answer
    x = 10,717.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.