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Finding the Fourth Proportional to 8,202.35, 12,305.48 and 2,655.70

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Solution

The fourth proportional to 8,202.35, 12,305.48 and 2,655.70 is: 3,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.35 : 12,305.48 = 2,655.70 : x
  2. Step 2: Convert to fraction form
    8,202.35/12,305.48 = 2,655.70/x
  3. Step 3: Cross multiply
    8,202.35x = 12,305.48 × 2,655.70
  4. Step 4: Simplify right side
    8,202.35x = 32,679,663.24
  5. Step 5: Solve for x
    x = 32,679,663.24/8,202.35
  6. Step 6: Final answer
    x = 3,984.18

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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.