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Finding the Fourth Proportional to 10,560.25, 15,839.76 and 2,769.06

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Solution

The fourth proportional to 10,560.25, 15,839.76 and 2,769.06 is: 4,153.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.25 : 15,839.76 = 2,769.06 : x
  2. Step 2: Convert to fraction form
    10,560.25/15,839.76 = 2,769.06/x
  3. Step 3: Cross multiply
    10,560.25x = 15,839.76 × 2,769.06
  4. Step 4: Simplify right side
    10,560.25x = 43,861,245.83
  5. Step 5: Solve for x
    x = 43,861,245.83/10,560.25
  6. Step 6: Final answer
    x = 4,153.43

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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.