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Finding the Fourth Proportional to 11,144.59, 15,380.08 and 6,109.02

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Solution

The fourth proportional to 11,144.59, 15,380.08 and 6,109.02 is: 8,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.59 : 15,380.08 = 6,109.02 : x
  2. Step 2: Convert to fraction form
    11,144.59/15,380.08 = 6,109.02/x
  3. Step 3: Cross multiply
    11,144.59x = 15,380.08 × 6,109.02
  4. Step 4: Simplify right side
    11,144.59x = 93,957,201.05
  5. Step 5: Solve for x
    x = 93,957,201.05/11,144.59
  6. Step 6: Final answer
    x = 8,430.75

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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.