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Finding the Fourth Proportional to 10,116.69, 15,175.18 and 3,877.02

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Solution

The fourth proportional to 10,116.69, 15,175.18 and 3,877.02 is: 5,815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,116.69 : 15,175.18 = 3,877.02 : x
  2. Step 2: Convert to fraction form
    10,116.69/15,175.18 = 3,877.02/x
  3. Step 3: Cross multiply
    10,116.69x = 15,175.18 × 3,877.02
  4. Step 4: Simplify right side
    10,116.69x = 58,834,481.21
  5. Step 5: Solve for x
    x = 58,834,481.21/10,116.69
  6. Step 6: Final answer
    x = 5,815.59

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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.