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Finding the Fourth Proportional to 10,171.27, 15,256.53 and 3,597.31

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Solution

The fourth proportional to 10,171.27, 15,256.53 and 3,597.31 is: 5,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.27 : 15,256.53 = 3,597.31 : x
  2. Step 2: Convert to fraction form
    10,171.27/15,256.53 = 3,597.31/x
  3. Step 3: Cross multiply
    10,171.27x = 15,256.53 × 3,597.31
  4. Step 4: Simplify right side
    10,171.27x = 54,882,467.93
  5. Step 5: Solve for x
    x = 54,882,467.93/10,171.27
  6. Step 6: Final answer
    x = 5,395.83

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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.