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Finding the Fourth Proportional to 8,150.82, 12,228.86 and 3,217.71

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Solution

The fourth proportional to 8,150.82, 12,228.86 and 3,217.71 is: 4,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.82 : 12,228.86 = 3,217.71 : x
  2. Step 2: Convert to fraction form
    8,150.82/12,228.86 = 3,217.71/x
  3. Step 3: Cross multiply
    8,150.82x = 12,228.86 × 3,217.71
  4. Step 4: Simplify right side
    8,150.82x = 39,348,925.11
  5. Step 5: Solve for x
    x = 39,348,925.11/8,150.82
  6. Step 6: Final answer
    x = 4,827.60

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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.