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Finding the Fourth Proportional to 8,005.20, 12,000.60 and 5,233.20

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Solution

The fourth proportional to 8,005.20, 12,000.60 and 5,233.20 is: 7,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.20 : 12,000.60 = 5,233.20 : x
  2. Step 2: Convert to fraction form
    8,005.20/12,000.60 = 5,233.20/x
  3. Step 3: Cross multiply
    8,005.20x = 12,000.60 × 5,233.20
  4. Step 4: Simplify right side
    8,005.20x = 62,801,539.92
  5. Step 5: Solve for x
    x = 62,801,539.92/8,005.20
  6. Step 6: Final answer
    x = 7,845.09

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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.