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Finding the Fourth Proportional to 8,692.29, 11,993.36 and 5,864.91

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Solution

The fourth proportional to 8,692.29, 11,993.36 and 5,864.91 is: 8,092.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.29 : 11,993.36 = 5,864.91 : x
  2. Step 2: Convert to fraction form
    8,692.29/11,993.36 = 5,864.91/x
  3. Step 3: Cross multiply
    8,692.29x = 11,993.36 × 5,864.91
  4. Step 4: Simplify right side
    8,692.29x = 70,339,947.67
  5. Step 5: Solve for x
    x = 70,339,947.67/8,692.29
  6. Step 6: Final answer
    x = 8,092.22

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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.