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Finding the Fourth Proportional to 10,007.67, 13,800.20 and 8,596

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Solution

The fourth proportional to 10,007.67, 13,800.20 and 8,596 is: 11,853.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.67 : 13,800.20 = 8,596 : x
  2. Step 2: Convert to fraction form
    10,007.67/13,800.20 = 8,596/x
  3. Step 3: Cross multiply
    10,007.67x = 13,800.20 × 8,596
  4. Step 4: Simplify right side
    10,007.67x = 118,626,519.20
  5. Step 5: Solve for x
    x = 118,626,519.20/10,007.67
  6. Step 6: Final answer
    x = 11,853.56

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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.