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Finding the Fourth Proportional to 8,202.60, 12,305.52 and 3,008.52

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Solution

The fourth proportional to 8,202.60, 12,305.52 and 3,008.52 is: 4,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.60 : 12,305.52 = 3,008.52 : x
  2. Step 2: Convert to fraction form
    8,202.60/12,305.52 = 3,008.52/x
  3. Step 3: Cross multiply
    8,202.60x = 12,305.52 × 3,008.52
  4. Step 4: Simplify right side
    8,202.60x = 37,021,387.99
  5. Step 5: Solve for x
    x = 37,021,387.99/8,202.60
  6. Step 6: Final answer
    x = 4,513.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.