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Finding the Fourth Proportional to 8,504.96, 12,758.16 and 2,264.97

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Solution

The fourth proportional to 8,504.96, 12,758.16 and 2,264.97 is: 3,397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.96 : 12,758.16 = 2,264.97 : x
  2. Step 2: Convert to fraction form
    8,504.96/12,758.16 = 2,264.97/x
  3. Step 3: Cross multiply
    8,504.96x = 12,758.16 × 2,264.97
  4. Step 4: Simplify right side
    8,504.96x = 28,896,849.66
  5. Step 5: Solve for x
    x = 28,896,849.66/8,504.96
  6. Step 6: Final answer
    x = 3,397.65

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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.