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Finding the Fourth Proportional to 11,909.25, 17,865.09 and 4,118.04

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Solution

The fourth proportional to 11,909.25, 17,865.09 and 4,118.04 is: 6,177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.25 : 17,865.09 = 4,118.04 : x
  2. Step 2: Convert to fraction form
    11,909.25/17,865.09 = 4,118.04/x
  3. Step 3: Cross multiply
    11,909.25x = 17,865.09 × 4,118.04
  4. Step 4: Simplify right side
    11,909.25x = 73,569,155.22
  5. Step 5: Solve for x
    x = 73,569,155.22/11,909.25
  6. Step 6: Final answer
    x = 6,177.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.