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Finding the Fourth Proportional to 10,902.26, 15,053.62 and 8,380.40

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Solution

The fourth proportional to 10,902.26, 15,053.62 and 8,380.40 is: 11,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.26 : 15,053.62 = 8,380.40 : x
  2. Step 2: Convert to fraction form
    10,902.26/15,053.62 = 8,380.40/x
  3. Step 3: Cross multiply
    10,902.26x = 15,053.62 × 8,380.40
  4. Step 4: Simplify right side
    10,902.26x = 126,155,357.05
  5. Step 5: Solve for x
    x = 126,155,357.05/10,902.26
  6. Step 6: Final answer
    x = 11,571.49

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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.