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Finding the Fourth Proportional to 8,065.12, 12,098.48 and 2,221.76

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Solution

The fourth proportional to 8,065.12, 12,098.48 and 2,221.76 is: 3,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.12 : 12,098.48 = 2,221.76 : x
  2. Step 2: Convert to fraction form
    8,065.12/12,098.48 = 2,221.76/x
  3. Step 3: Cross multiply
    8,065.12x = 12,098.48 × 2,221.76
  4. Step 4: Simplify right side
    8,065.12x = 26,879,918.92
  5. Step 5: Solve for x
    x = 26,879,918.92/8,065.12
  6. Step 6: Final answer
    x = 3,332.86

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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.