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Finding the Fourth Proportional to 8,510.92, 12,752.26 and 2,961.26

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Solution

The fourth proportional to 8,510.92, 12,752.26 and 2,961.26 is: 4,436.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.92 : 12,752.26 = 2,961.26 : x
  2. Step 2: Convert to fraction form
    8,510.92/12,752.26 = 2,961.26/x
  3. Step 3: Cross multiply
    8,510.92x = 12,752.26 × 2,961.26
  4. Step 4: Simplify right side
    8,510.92x = 37,762,742.43
  5. Step 5: Solve for x
    x = 37,762,742.43/8,510.92
  6. Step 6: Final answer
    x = 4,436.97

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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.