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Finding the Fourth Proportional to 10,086.69, 13,920.87 and 6,107.70

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Solution

The fourth proportional to 10,086.69, 13,920.87 and 6,107.70 is: 8,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.69 : 13,920.87 = 6,107.70 : x
  2. Step 2: Convert to fraction form
    10,086.69/13,920.87 = 6,107.70/x
  3. Step 3: Cross multiply
    10,086.69x = 13,920.87 × 6,107.70
  4. Step 4: Simplify right side
    10,086.69x = 85,024,497.70
  5. Step 5: Solve for x
    x = 85,024,497.70/10,086.69
  6. Step 6: Final answer
    x = 8,429.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.