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Finding the Fourth Proportional to 8,677.87, 13,016.81 and 2,104.04

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Solution

The fourth proportional to 8,677.87, 13,016.81 and 2,104.04 is: 3,156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.87 : 13,016.81 = 2,104.04 : x
  2. Step 2: Convert to fraction form
    8,677.87/13,016.81 = 2,104.04/x
  3. Step 3: Cross multiply
    8,677.87x = 13,016.81 × 2,104.04
  4. Step 4: Simplify right side
    8,677.87x = 27,387,926.71
  5. Step 5: Solve for x
    x = 27,387,926.71/8,677.87
  6. Step 6: Final answer
    x = 3,156.07

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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.