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Finding the Fourth Proportional to 8,504.69, 12,757.97 and 2,264.93

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Solution

The fourth proportional to 8,504.69, 12,757.97 and 2,264.93 is: 3,397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.69 : 12,757.97 = 2,264.93 : x
  2. Step 2: Convert to fraction form
    8,504.69/12,757.97 = 2,264.93/x
  3. Step 3: Cross multiply
    8,504.69x = 12,757.97 × 2,264.93
  4. Step 4: Simplify right side
    8,504.69x = 28,895,833.88
  5. Step 5: Solve for x
    x = 28,895,833.88/8,504.69
  6. Step 6: Final answer
    x = 3,397.64

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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.