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Finding the Fourth Proportional to 10,517.46, 15,777.03 and 3,497.22

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Solution

The fourth proportional to 10,517.46, 15,777.03 and 3,497.22 is: 5,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.46 : 15,777.03 = 3,497.22 : x
  2. Step 2: Convert to fraction form
    10,517.46/15,777.03 = 3,497.22/x
  3. Step 3: Cross multiply
    10,517.46x = 15,777.03 × 3,497.22
  4. Step 4: Simplify right side
    10,517.46x = 55,175,744.86
  5. Step 5: Solve for x
    x = 55,175,744.86/10,517.46
  6. Step 6: Final answer
    x = 5,246.11

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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.