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Finding the Fourth Proportional to 8,196.10, 12,304.52 and 6,826.20

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Solution

The fourth proportional to 8,196.10, 12,304.52 and 6,826.20 is: 10,247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.10 : 12,304.52 = 6,826.20 : x
  2. Step 2: Convert to fraction form
    8,196.10/12,304.52 = 6,826.20/x
  3. Step 3: Cross multiply
    8,196.10x = 12,304.52 × 6,826.20
  4. Step 4: Simplify right side
    8,196.10x = 83,993,114.42
  5. Step 5: Solve for x
    x = 83,993,114.42/8,196.10
  6. Step 6: Final answer
    x = 10,247.94

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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.