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Finding the Fourth Proportional to 7,042.78, 10,565.68 and 2,112.84

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Solution

The fourth proportional to 7,042.78, 10,565.68 and 2,112.84 is: 3,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.78 : 10,565.68 = 2,112.84 : x
  2. Step 2: Convert to fraction form
    7,042.78/10,565.68 = 2,112.84/x
  3. Step 3: Cross multiply
    7,042.78x = 10,565.68 × 2,112.84
  4. Step 4: Simplify right side
    7,042.78x = 22,323,591.33
  5. Step 5: Solve for x
    x = 22,323,591.33/7,042.78
  6. Step 6: Final answer
    x = 3,169.71

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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.