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Finding the Fourth Proportional to 7,113.20, 10,671.20 and 3,217.64

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Solution

The fourth proportional to 7,113.20, 10,671.20 and 3,217.64 is: 4,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.20 : 10,671.20 = 3,217.64 : x
  2. Step 2: Convert to fraction form
    7,113.20/10,671.20 = 3,217.64/x
  3. Step 3: Cross multiply
    7,113.20x = 10,671.20 × 3,217.64
  4. Step 4: Simplify right side
    7,113.20x = 34,336,079.97
  5. Step 5: Solve for x
    x = 34,336,079.97/7,113.20
  6. Step 6: Final answer
    x = 4,827.09

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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.