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Finding the Fourth Proportional to 10,517.53, 15,773.65 and 3,120.28

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Solution

The fourth proportional to 10,517.53, 15,773.65 and 3,120.28 is: 4,679.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.53 : 15,773.65 = 3,120.28 : x
  2. Step 2: Convert to fraction form
    10,517.53/15,773.65 = 3,120.28/x
  3. Step 3: Cross multiply
    10,517.53x = 15,773.65 × 3,120.28
  4. Step 4: Simplify right side
    10,517.53x = 49,218,204.62
  5. Step 5: Solve for x
    x = 49,218,204.62/10,517.53
  6. Step 6: Final answer
    x = 4,679.64

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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.