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Finding the Fourth Proportional to 6,885.28, 10,379.80 and 6,439.84

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Solution

The fourth proportional to 6,885.28, 10,379.80 and 6,439.84 is: 9,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.28 : 10,379.80 = 6,439.84 : x
  2. Step 2: Convert to fraction form
    6,885.28/10,379.80 = 6,439.84/x
  3. Step 3: Cross multiply
    6,885.28x = 10,379.80 × 6,439.84
  4. Step 4: Simplify right side
    6,885.28x = 66,844,251.23
  5. Step 5: Solve for x
    x = 66,844,251.23/6,885.28
  6. Step 6: Final answer
    x = 9,708.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.