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Finding the Fourth Proportional to 11,909.16, 17,865.18 and 6,368.04

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Solution

The fourth proportional to 11,909.16, 17,865.18 and 6,368.04 is: 9,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.16 : 17,865.18 = 6,368.04 : x
  2. Step 2: Convert to fraction form
    11,909.16/17,865.18 = 6,368.04/x
  3. Step 3: Cross multiply
    11,909.16x = 17,865.18 × 6,368.04
  4. Step 4: Simplify right side
    11,909.16x = 113,766,180.85
  5. Step 5: Solve for x
    x = 113,766,180.85/11,909.16
  6. Step 6: Final answer
    x = 9,552.83

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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.