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Finding the Fourth Proportional to 8,771.78, 12,103.89 and 5,632.22

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Solution

The fourth proportional to 8,771.78, 12,103.89 and 5,632.22 is: 7,771.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.78 : 12,103.89 = 5,632.22 : x
  2. Step 2: Convert to fraction form
    8,771.78/12,103.89 = 5,632.22/x
  3. Step 3: Cross multiply
    8,771.78x = 12,103.89 × 5,632.22
  4. Step 4: Simplify right side
    8,771.78x = 68,171,771.34
  5. Step 5: Solve for x
    x = 68,171,771.34/8,771.78
  6. Step 6: Final answer
    x = 7,771.71

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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.