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Finding the Fourth Proportional to 7,696.54, 11,546.77 and 2,149.90

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Solution

The fourth proportional to 7,696.54, 11,546.77 and 2,149.90 is: 3,225.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.54 : 11,546.77 = 2,149.90 : x
  2. Step 2: Convert to fraction form
    7,696.54/11,546.77 = 2,149.90/x
  3. Step 3: Cross multiply
    7,696.54x = 11,546.77 × 2,149.90
  4. Step 4: Simplify right side
    7,696.54x = 24,824,400.82
  5. Step 5: Solve for x
    x = 24,824,400.82/7,696.54
  6. Step 6: Final answer
    x = 3,225.40

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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.