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Finding the Fourth Proportional to 7,696.16, 11,544.33 and 2,149.17

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Solution

The fourth proportional to 7,696.16, 11,544.33 and 2,149.17 is: 3,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.16 : 11,544.33 = 2,149.17 : x
  2. Step 2: Convert to fraction form
    7,696.16/11,544.33 = 2,149.17/x
  3. Step 3: Cross multiply
    7,696.16x = 11,544.33 × 2,149.17
  4. Step 4: Simplify right side
    7,696.16x = 24,810,727.71
  5. Step 5: Solve for x
    x = 24,810,727.71/7,696.16
  6. Step 6: Final answer
    x = 3,223.78

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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.