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Finding the Fourth Proportional to 6,758.64, 10,141.20 and 3,294

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Solution

The fourth proportional to 6,758.64, 10,141.20 and 3,294 is: 4,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.64 : 10,141.20 = 3,294 : x
  2. Step 2: Convert to fraction form
    6,758.64/10,141.20 = 3,294/x
  3. Step 3: Cross multiply
    6,758.64x = 10,141.20 × 3,294
  4. Step 4: Simplify right side
    6,758.64x = 33,405,112.80
  5. Step 5: Solve for x
    x = 33,405,112.80/6,758.64
  6. Step 6: Final answer
    x = 4,942.58

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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.