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Finding the Fourth Proportional to 8,510.66, 12,766.34 and 2,964.57

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Solution

The fourth proportional to 8,510.66, 12,766.34 and 2,964.57 is: 4,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.66 : 12,766.34 = 2,964.57 : x
  2. Step 2: Convert to fraction form
    8,510.66/12,766.34 = 2,964.57/x
  3. Step 3: Cross multiply
    8,510.66x = 12,766.34 × 2,964.57
  4. Step 4: Simplify right side
    8,510.66x = 37,846,645.88
  5. Step 5: Solve for x
    x = 37,846,645.88/8,510.66
  6. Step 6: Final answer
    x = 4,446.97

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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.