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Finding the Fourth Proportional to 10,049.27, 13,865.17 and 7,918.20

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Solution

The fourth proportional to 10,049.27, 13,865.17 and 7,918.20 is: 10,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.27 : 13,865.17 = 7,918.20 : x
  2. Step 2: Convert to fraction form
    10,049.27/13,865.17 = 7,918.20/x
  3. Step 3: Cross multiply
    10,049.27x = 13,865.17 × 7,918.20
  4. Step 4: Simplify right side
    10,049.27x = 109,787,080.18
  5. Step 5: Solve for x
    x = 109,787,080.18/10,049.27
  6. Step 6: Final answer
    x = 10,924.88

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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.