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Finding the Fourth Proportional to 10,928, 15,080.82 and 5,960

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Solution

The fourth proportional to 10,928, 15,080.82 and 5,960 is: 8,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,928 : 15,080.82 = 5,960 : x
  2. Step 2: Convert to fraction form
    10,928/15,080.82 = 5,960/x
  3. Step 3: Cross multiply
    10,928x = 15,080.82 × 5,960
  4. Step 4: Simplify right side
    10,928x = 89,881,687.20
  5. Step 5: Solve for x
    x = 89,881,687.20/10,928
  6. Step 6: Final answer
    x = 8,224.90

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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.