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Finding the Fourth Proportional to 10,961.20, 16,441.80 and 5,129.20

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Solution

The fourth proportional to 10,961.20, 16,441.80 and 5,129.20 is: 7,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.20 : 16,441.80 = 5,129.20 : x
  2. Step 2: Convert to fraction form
    10,961.20/16,441.80 = 5,129.20/x
  3. Step 3: Cross multiply
    10,961.20x = 16,441.80 × 5,129.20
  4. Step 4: Simplify right side
    10,961.20x = 84,333,280.56
  5. Step 5: Solve for x
    x = 84,333,280.56/10,961.20
  6. Step 6: Final answer
    x = 7,693.80

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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.