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Finding the Fourth Proportional to 10,692.73, 14,755.97 and 5,977.02

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Solution

The fourth proportional to 10,692.73, 14,755.97 and 5,977.02 is: 8,248.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.73 : 14,755.97 = 5,977.02 : x
  2. Step 2: Convert to fraction form
    10,692.73/14,755.97 = 5,977.02/x
  3. Step 3: Cross multiply
    10,692.73x = 14,755.97 × 5,977.02
  4. Step 4: Simplify right side
    10,692.73x = 88,196,727.81
  5. Step 5: Solve for x
    x = 88,196,727.81/10,692.73
  6. Step 6: Final answer
    x = 8,248.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.