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Finding the Fourth Proportional to 8,202.32, 12,305.68 and 3,275.42

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Solution

The fourth proportional to 8,202.32, 12,305.68 and 3,275.42 is: 4,914.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.32 : 12,305.68 = 3,275.42 : x
  2. Step 2: Convert to fraction form
    8,202.32/12,305.68 = 3,275.42/x
  3. Step 3: Cross multiply
    8,202.32x = 12,305.68 × 3,275.42
  4. Step 4: Simplify right side
    8,202.32x = 40,306,192.48
  5. Step 5: Solve for x
    x = 40,306,192.48/8,202.32
  6. Step 6: Final answer
    x = 4,914.00

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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.