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Finding the Fourth Proportional to 10,175.68, 15,253.14 and 5,726.80

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Solution

The fourth proportional to 10,175.68, 15,253.14 and 5,726.80 is: 8,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.68 : 15,253.14 = 5,726.80 : x
  2. Step 2: Convert to fraction form
    10,175.68/15,253.14 = 5,726.80/x
  3. Step 3: Cross multiply
    10,175.68x = 15,253.14 × 5,726.80
  4. Step 4: Simplify right side
    10,175.68x = 87,351,682.15
  5. Step 5: Solve for x
    x = 87,351,682.15/10,175.68
  6. Step 6: Final answer
    x = 8,584.36

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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.