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Finding the Fourth Proportional to 7,867.52, 11,801.12 and 3,187.34

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Solution

The fourth proportional to 7,867.52, 11,801.12 and 3,187.34 is: 4,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.52 : 11,801.12 = 3,187.34 : x
  2. Step 2: Convert to fraction form
    7,867.52/11,801.12 = 3,187.34/x
  3. Step 3: Cross multiply
    7,867.52x = 11,801.12 × 3,187.34
  4. Step 4: Simplify right side
    7,867.52x = 37,614,181.82
  5. Step 5: Solve for x
    x = 37,614,181.82/7,867.52
  6. Step 6: Final answer
    x = 4,780.95

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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.