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Finding the Fourth Proportional to 7,142.60, 10,713.22 and 2,462.15

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Solution

The fourth proportional to 7,142.60, 10,713.22 and 2,462.15 is: 3,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.60 : 10,713.22 = 2,462.15 : x
  2. Step 2: Convert to fraction form
    7,142.60/10,713.22 = 2,462.15/x
  3. Step 3: Cross multiply
    7,142.60x = 10,713.22 × 2,462.15
  4. Step 4: Simplify right side
    7,142.60x = 26,377,554.62
  5. Step 5: Solve for x
    x = 26,377,554.62/7,142.60
  6. Step 6: Final answer
    x = 3,692.99

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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.