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Finding the Fourth Proportional to 10,880.79, 16,311.75 and 6,489

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Solution

The fourth proportional to 10,880.79, 16,311.75 and 6,489 is: 9,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.79 : 16,311.75 = 6,489 : x
  2. Step 2: Convert to fraction form
    10,880.79/16,311.75 = 6,489/x
  3. Step 3: Cross multiply
    10,880.79x = 16,311.75 × 6,489
  4. Step 4: Simplify right side
    10,880.79x = 105,846,945.75
  5. Step 5: Solve for x
    x = 105,846,945.75/10,880.79
  6. Step 6: Final answer
    x = 9,727.87

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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.