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Finding the Fourth Proportional to 8,771.72, 12,105.78 and 5,045

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Solution

The fourth proportional to 8,771.72, 12,105.78 and 5,045 is: 6,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.72 : 12,105.78 = 5,045 : x
  2. Step 2: Convert to fraction form
    8,771.72/12,105.78 = 5,045/x
  3. Step 3: Cross multiply
    8,771.72x = 12,105.78 × 5,045
  4. Step 4: Simplify right side
    8,771.72x = 61,073,660.10
  5. Step 5: Solve for x
    x = 61,073,660.10/8,771.72
  6. Step 6: Final answer
    x = 6,962.56

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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.