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Finding the Fourth Proportional to 8,440.97, 12,661.65 and 2,597.63

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Solution

The fourth proportional to 8,440.97, 12,661.65 and 2,597.63 is: 3,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.97 : 12,661.65 = 2,597.63 : x
  2. Step 2: Convert to fraction form
    8,440.97/12,661.65 = 2,597.63/x
  3. Step 3: Cross multiply
    8,440.97x = 12,661.65 × 2,597.63
  4. Step 4: Simplify right side
    8,440.97x = 32,890,218.58
  5. Step 5: Solve for x
    x = 32,890,218.58/8,440.97
  6. Step 6: Final answer
    x = 3,896.50

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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.