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Finding the Fourth Proportional to 7,801.20, 11,694.78 and 2,867.49

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Solution

The fourth proportional to 7,801.20, 11,694.78 and 2,867.49 is: 4,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.20 : 11,694.78 = 2,867.49 : x
  2. Step 2: Convert to fraction form
    7,801.20/11,694.78 = 2,867.49/x
  3. Step 3: Cross multiply
    7,801.20x = 11,694.78 × 2,867.49
  4. Step 4: Simplify right side
    7,801.20x = 33,534,664.70
  5. Step 5: Solve for x
    x = 33,534,664.70/7,801.20
  6. Step 6: Final answer
    x = 4,298.65

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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.