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Finding the Fourth Proportional to 7,142.95, 10,714.85 and 2,760.43

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Solution

The fourth proportional to 7,142.95, 10,714.85 and 2,760.43 is: 4,140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.95 : 10,714.85 = 2,760.43 : x
  2. Step 2: Convert to fraction form
    7,142.95/10,714.85 = 2,760.43/x
  3. Step 3: Cross multiply
    7,142.95x = 10,714.85 × 2,760.43
  4. Step 4: Simplify right side
    7,142.95x = 29,577,593.39
  5. Step 5: Solve for x
    x = 29,577,593.39/7,142.95
  6. Step 6: Final answer
    x = 4,140.81

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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.