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Finding the Fourth Proportional to 10,291.96, 15,442.44 and 4,452.40

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Solution

The fourth proportional to 10,291.96, 15,442.44 and 4,452.40 is: 6,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.96 : 15,442.44 = 4,452.40 : x
  2. Step 2: Convert to fraction form
    10,291.96/15,442.44 = 4,452.40/x
  3. Step 3: Cross multiply
    10,291.96x = 15,442.44 × 4,452.40
  4. Step 4: Simplify right side
    10,291.96x = 68,755,919.86
  5. Step 5: Solve for x
    x = 68,755,919.86/10,291.96
  6. Step 6: Final answer
    x = 6,680.55

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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.