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Finding the Fourth Proportional to 8,027.72, 12,047.82 and 5,253.62

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Solution

The fourth proportional to 8,027.72, 12,047.82 and 5,253.62 is: 7,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.72 : 12,047.82 = 5,253.62 : x
  2. Step 2: Convert to fraction form
    8,027.72/12,047.82 = 5,253.62/x
  3. Step 3: Cross multiply
    8,027.72x = 12,047.82 × 5,253.62
  4. Step 4: Simplify right side
    8,027.72x = 63,294,668.11
  5. Step 5: Solve for x
    x = 63,294,668.11/8,027.72
  6. Step 6: Final answer
    x = 7,884.51

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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.