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Finding the Fourth Proportional to 10,540.16, 15,805.80 and 4,295.90

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Solution

The fourth proportional to 10,540.16, 15,805.80 and 4,295.90 is: 6,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.16 : 15,805.80 = 4,295.90 : x
  2. Step 2: Convert to fraction form
    10,540.16/15,805.80 = 4,295.90/x
  3. Step 3: Cross multiply
    10,540.16x = 15,805.80 × 4,295.90
  4. Step 4: Simplify right side
    10,540.16x = 67,900,175.73
  5. Step 5: Solve for x
    x = 67,900,175.73/10,540.16
  6. Step 6: Final answer
    x = 6,442.04

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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.