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Finding the Fourth Proportional to 8,202.06, 12,305.01 and 2,655.18

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Solution

The fourth proportional to 8,202.06, 12,305.01 and 2,655.18 is: 3,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.06 : 12,305.01 = 2,655.18 : x
  2. Step 2: Convert to fraction form
    8,202.06/12,305.01 = 2,655.18/x
  3. Step 3: Cross multiply
    8,202.06x = 12,305.01 × 2,655.18
  4. Step 4: Simplify right side
    8,202.06x = 32,672,016.45
  5. Step 5: Solve for x
    x = 32,672,016.45/8,202.06
  6. Step 6: Final answer
    x = 3,983.39

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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.