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Finding the Fourth Proportional to 11,144.88, 15,380.16 and 6,109.29

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Solution

The fourth proportional to 11,144.88, 15,380.16 and 6,109.29 is: 8,430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.88 : 15,380.16 = 6,109.29 : x
  2. Step 2: Convert to fraction form
    11,144.88/15,380.16 = 6,109.29/x
  3. Step 3: Cross multiply
    11,144.88x = 15,380.16 × 6,109.29
  4. Step 4: Simplify right side
    11,144.88x = 93,961,857.69
  5. Step 5: Solve for x
    x = 93,961,857.69/11,144.88
  6. Step 6: Final answer
    x = 8,430.94

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