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Finding the Fourth Proportional to 8,692.98, 11,993.02 and 5,333.10

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Solution

The fourth proportional to 8,692.98, 11,993.02 and 5,333.10 is: 7,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.98 : 11,993.02 = 5,333.10 : x
  2. Step 2: Convert to fraction form
    8,692.98/11,993.02 = 5,333.10/x
  3. Step 3: Cross multiply
    8,692.98x = 11,993.02 × 5,333.10
  4. Step 4: Simplify right side
    8,692.98x = 63,959,974.96
  5. Step 5: Solve for x
    x = 63,959,974.96/8,692.98
  6. Step 6: Final answer
    x = 7,357.66

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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.