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Finding the Fourth Proportional to 10,601.72, 15,894.90 and 5,403.64

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Solution

The fourth proportional to 10,601.72, 15,894.90 and 5,403.64 is: 8,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.72 : 15,894.90 = 5,403.64 : x
  2. Step 2: Convert to fraction form
    10,601.72/15,894.90 = 5,403.64/x
  3. Step 3: Cross multiply
    10,601.72x = 15,894.90 × 5,403.64
  4. Step 4: Simplify right side
    10,601.72x = 85,890,317.44
  5. Step 5: Solve for x
    x = 85,890,317.44/10,601.72
  6. Step 6: Final answer
    x = 8,101.55

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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.