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Finding the Fourth Proportional to 8,692.87, 12,006.02 and 5,855.32

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Solution

The fourth proportional to 8,692.87, 12,006.02 and 5,855.32 is: 8,086.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.87 : 12,006.02 = 5,855.32 : x
  2. Step 2: Convert to fraction form
    8,692.87/12,006.02 = 5,855.32/x
  3. Step 3: Cross multiply
    8,692.87x = 12,006.02 × 5,855.32
  4. Step 4: Simplify right side
    8,692.87x = 70,299,089.03
  5. Step 5: Solve for x
    x = 70,299,089.03/8,692.87
  6. Step 6: Final answer
    x = 8,086.98

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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.