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Finding the Fourth Proportional to 10,344.80, 15,517.20 and 5,415.95

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Solution

The fourth proportional to 10,344.80, 15,517.20 and 5,415.95 is: 8,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.80 : 15,517.20 = 5,415.95 : x
  2. Step 2: Convert to fraction form
    10,344.80/15,517.20 = 5,415.95/x
  3. Step 3: Cross multiply
    10,344.80x = 15,517.20 × 5,415.95
  4. Step 4: Simplify right side
    10,344.80x = 84,040,379.34
  5. Step 5: Solve for x
    x = 84,040,379.34/10,344.80
  6. Step 6: Final answer
    x = 8,123.93

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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.