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Finding the Fourth Proportional to 8,608.28, 12,914.24 and 2,764.13

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Solution

The fourth proportional to 8,608.28, 12,914.24 and 2,764.13 is: 4,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,608.28 : 12,914.24 = 2,764.13 : x
  2. Step 2: Convert to fraction form
    8,608.28/12,914.24 = 2,764.13/x
  3. Step 3: Cross multiply
    8,608.28x = 12,914.24 × 2,764.13
  4. Step 4: Simplify right side
    8,608.28x = 35,696,559.82
  5. Step 5: Solve for x
    x = 35,696,559.82/8,608.28
  6. Step 6: Final answer
    x = 4,146.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.