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Finding the Fourth Proportional to 8,546.64, 12,821.17 and 2,701.95

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Solution

The fourth proportional to 8,546.64, 12,821.17 and 2,701.95 is: 4,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.64 : 12,821.17 = 2,701.95 : x
  2. Step 2: Convert to fraction form
    8,546.64/12,821.17 = 2,701.95/x
  3. Step 3: Cross multiply
    8,546.64x = 12,821.17 × 2,701.95
  4. Step 4: Simplify right side
    8,546.64x = 34,642,160.28
  5. Step 5: Solve for x
    x = 34,642,160.28/8,546.64
  6. Step 6: Final answer
    x = 4,053.31

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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.