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Finding the Fourth Proportional to 10,135.42, 15,175.78 and 6,616.71

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Solution

The fourth proportional to 10,135.42, 15,175.78 and 6,616.71 is: 9,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.42 : 15,175.78 = 6,616.71 : x
  2. Step 2: Convert to fraction form
    10,135.42/15,175.78 = 6,616.71/x
  3. Step 3: Cross multiply
    10,135.42x = 15,175.78 × 6,616.71
  4. Step 4: Simplify right side
    10,135.42x = 100,413,735.28
  5. Step 5: Solve for x
    x = 100,413,735.28/10,135.42
  6. Step 6: Final answer
    x = 9,907.21

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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.