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Finding the Fourth Proportional to 8,147.86, 12,221.76 and 2,952.52

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Solution

The fourth proportional to 8,147.86, 12,221.76 and 2,952.52 is: 4,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.86 : 12,221.76 = 2,952.52 : x
  2. Step 2: Convert to fraction form
    8,147.86/12,221.76 = 2,952.52/x
  3. Step 3: Cross multiply
    8,147.86x = 12,221.76 × 2,952.52
  4. Step 4: Simplify right side
    8,147.86x = 36,084,990.84
  5. Step 5: Solve for x
    x = 36,084,990.84/8,147.86
  6. Step 6: Final answer
    x = 4,428.77

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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.