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Finding the Fourth Proportional to 8,187.78, 12,282.90 and 4,182.96

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Solution

The fourth proportional to 8,187.78, 12,282.90 and 4,182.96 is: 6,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.78 : 12,282.90 = 4,182.96 : x
  2. Step 2: Convert to fraction form
    8,187.78/12,282.90 = 4,182.96/x
  3. Step 3: Cross multiply
    8,187.78x = 12,282.90 × 4,182.96
  4. Step 4: Simplify right side
    8,187.78x = 51,378,879.38
  5. Step 5: Solve for x
    x = 51,378,879.38/8,187.78
  6. Step 6: Final answer
    x = 6,275.07

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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.