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Finding the Fourth Proportional to 8,215.47, 12,332.43 and 3,288.56

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Solution

The fourth proportional to 8,215.47, 12,332.43 and 3,288.56 is: 4,936.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.47 : 12,332.43 = 3,288.56 : x
  2. Step 2: Convert to fraction form
    8,215.47/12,332.43 = 3,288.56/x
  3. Step 3: Cross multiply
    8,215.47x = 12,332.43 × 3,288.56
  4. Step 4: Simplify right side
    8,215.47x = 40,555,874.34
  5. Step 5: Solve for x
    x = 40,555,874.34/8,215.47
  6. Step 6: Final answer
    x = 4,936.53

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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.