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Finding the Fourth Proportional to 8,965.97, 13,448.95 and 2,725.96

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Solution

The fourth proportional to 8,965.97, 13,448.95 and 2,725.96 is: 4,088.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.97 : 13,448.95 = 2,725.96 : x
  2. Step 2: Convert to fraction form
    8,965.97/13,448.95 = 2,725.96/x
  3. Step 3: Cross multiply
    8,965.97x = 13,448.95 × 2,725.96
  4. Step 4: Simplify right side
    8,965.97x = 36,661,299.74
  5. Step 5: Solve for x
    x = 36,661,299.74/8,965.97
  6. Step 6: Final answer
    x = 4,088.94

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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.