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Finding the Fourth Proportional to 6,880, 10,320.48 and 2,719.78

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Solution

The fourth proportional to 6,880, 10,320.48 and 2,719.78 is: 4,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880 : 10,320.48 = 2,719.78 : x
  2. Step 2: Convert to fraction form
    6,880/10,320.48 = 2,719.78/x
  3. Step 3: Cross multiply
    6,880x = 10,320.48 × 2,719.78
  4. Step 4: Simplify right side
    6,880x = 28,069,435.09
  5. Step 5: Solve for x
    x = 28,069,435.09/6,880
  6. Step 6: Final answer
    x = 4,079.86

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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.