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Finding the Fourth Proportional to 6,863.40, 10,295.10 and 6,732.18

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Solution

The fourth proportional to 6,863.40, 10,295.10 and 6,732.18 is: 10,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.40 : 10,295.10 = 6,732.18 : x
  2. Step 2: Convert to fraction form
    6,863.40/10,295.10 = 6,732.18/x
  3. Step 3: Cross multiply
    6,863.40x = 10,295.10 × 6,732.18
  4. Step 4: Simplify right side
    6,863.40x = 69,308,466.32
  5. Step 5: Solve for x
    x = 69,308,466.32/6,863.40
  6. Step 6: Final answer
    x = 10,098.27

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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.