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Finding the Fourth Proportional to 8,769.89, 12,107.89 and 5,584.97

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Solution

The fourth proportional to 8,769.89, 12,107.89 and 5,584.97 is: 7,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769.89 : 12,107.89 = 5,584.97 : x
  2. Step 2: Convert to fraction form
    8,769.89/12,107.89 = 5,584.97/x
  3. Step 3: Cross multiply
    8,769.89x = 12,107.89 × 5,584.97
  4. Step 4: Simplify right side
    8,769.89x = 67,622,202.41
  5. Step 5: Solve for x
    x = 67,622,202.41/8,769.89
  6. Step 6: Final answer
    x = 7,710.72

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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.