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Finding the Fourth Proportional to 7,072.97, 10,612.18 and 2,142.65

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Solution

The fourth proportional to 7,072.97, 10,612.18 and 2,142.65 is: 3,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.97 : 10,612.18 = 2,142.65 : x
  2. Step 2: Convert to fraction form
    7,072.97/10,612.18 = 2,142.65/x
  3. Step 3: Cross multiply
    7,072.97x = 10,612.18 × 2,142.65
  4. Step 4: Simplify right side
    7,072.97x = 22,738,129.06
  5. Step 5: Solve for x
    x = 22,738,129.06/7,072.97
  6. Step 6: Final answer
    x = 3,214.79

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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.