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Finding the Fourth Proportional to 8,209.59, 12,286.36 and 6,894.69

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Solution

The fourth proportional to 8,209.59, 12,286.36 and 6,894.69 is: 10,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.59 : 12,286.36 = 6,894.69 : x
  2. Step 2: Convert to fraction form
    8,209.59/12,286.36 = 6,894.69/x
  3. Step 3: Cross multiply
    8,209.59x = 12,286.36 × 6,894.69
  4. Step 4: Simplify right side
    8,209.59x = 84,710,643.43
  5. Step 5: Solve for x
    x = 84,710,643.43/8,209.59
  6. Step 6: Final answer
    x = 10,318.50

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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.