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Finding the Fourth Proportional to 10,880, 16,317.72 and 5,327.75

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Solution

The fourth proportional to 10,880, 16,317.72 and 5,327.75 is: 7,990.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880 : 16,317.72 = 5,327.75 : x
  2. Step 2: Convert to fraction form
    10,880/16,317.72 = 5,327.75/x
  3. Step 3: Cross multiply
    10,880x = 16,317.72 × 5,327.75
  4. Step 4: Simplify right side
    10,880x = 86,936,732.73
  5. Step 5: Solve for x
    x = 86,936,732.73/10,880
  6. Step 6: Final answer
    x = 7,990.51

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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.