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Finding the Fourth Proportional to 10,517.68, 15,771.12 and 3,495.16

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Solution

The fourth proportional to 10,517.68, 15,771.12 and 3,495.16 is: 5,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.68 : 15,771.12 = 3,495.16 : x
  2. Step 2: Convert to fraction form
    10,517.68/15,771.12 = 3,495.16/x
  3. Step 3: Cross multiply
    10,517.68x = 15,771.12 × 3,495.16
  4. Step 4: Simplify right side
    10,517.68x = 55,122,587.78
  5. Step 5: Solve for x
    x = 55,122,587.78/10,517.68
  6. Step 6: Final answer
    x = 5,240.95

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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.