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Finding the Fourth Proportional to 10,478.83, 15,716.82 and 4,153.61

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Solution

The fourth proportional to 10,478.83, 15,716.82 and 4,153.61 is: 6,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.83 : 15,716.82 = 4,153.61 : x
  2. Step 2: Convert to fraction form
    10,478.83/15,716.82 = 4,153.61/x
  3. Step 3: Cross multiply
    10,478.83x = 15,716.82 × 4,153.61
  4. Step 4: Simplify right side
    10,478.83x = 65,281,540.72
  5. Step 5: Solve for x
    x = 65,281,540.72/10,478.83
  6. Step 6: Final answer
    x = 6,229.85

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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.