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Finding the Fourth Proportional to 7,600.16, 11,400.72 and 3,217.04

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Solution

The fourth proportional to 7,600.16, 11,400.72 and 3,217.04 is: 4,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.16 : 11,400.72 = 3,217.04 : x
  2. Step 2: Convert to fraction form
    7,600.16/11,400.72 = 3,217.04/x
  3. Step 3: Cross multiply
    7,600.16x = 11,400.72 × 3,217.04
  4. Step 4: Simplify right side
    7,600.16x = 36,676,572.27
  5. Step 5: Solve for x
    x = 36,676,572.27/7,600.16
  6. Step 6: Final answer
    x = 4,825.76

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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.