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Finding the Fourth Proportional to 7,692.87, 10,616.73 and 5,801.13

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Solution

The fourth proportional to 7,692.87, 10,616.73 and 5,801.13 is: 8,005.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.87 : 10,616.73 = 5,801.13 : x
  2. Step 2: Convert to fraction form
    7,692.87/10,616.73 = 5,801.13/x
  3. Step 3: Cross multiply
    7,692.87x = 10,616.73 × 5,801.13
  4. Step 4: Simplify right side
    7,692.87x = 61,589,030.90
  5. Step 5: Solve for x
    x = 61,589,030.90/7,692.87
  6. Step 6: Final answer
    x = 8,005.99

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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.