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Finding the Fourth Proportional to 8,081.78, 11,143.58 and 5,206.68

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Solution

The fourth proportional to 8,081.78, 11,143.58 and 5,206.68 is: 7,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.78 : 11,143.58 = 5,206.68 : x
  2. Step 2: Convert to fraction form
    8,081.78/11,143.58 = 5,206.68/x
  3. Step 3: Cross multiply
    8,081.78x = 11,143.58 × 5,206.68
  4. Step 4: Simplify right side
    8,081.78x = 58,021,029.08
  5. Step 5: Solve for x
    x = 58,021,029.08/8,081.78
  6. Step 6: Final answer
    x = 7,179.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.