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Finding the Fourth Proportional to 8,486.87, 12,729.50 and 2,643.13

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Solution

The fourth proportional to 8,486.87, 12,729.50 and 2,643.13 is: 3,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.87 : 12,729.50 = 2,643.13 : x
  2. Step 2: Convert to fraction form
    8,486.87/12,729.50 = 2,643.13/x
  3. Step 3: Cross multiply
    8,486.87x = 12,729.50 × 2,643.13
  4. Step 4: Simplify right side
    8,486.87x = 33,645,646.47
  5. Step 5: Solve for x
    x = 33,645,646.47/8,486.87
  6. Step 6: Final answer
    x = 3,964.44

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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.