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Finding the Fourth Proportional to 10,692.46, 14,755.34 and 5,977.18

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Solution

The fourth proportional to 10,692.46, 14,755.34 and 5,977.18 is: 8,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.46 : 14,755.34 = 5,977.18 : x
  2. Step 2: Convert to fraction form
    10,692.46/14,755.34 = 5,977.18/x
  3. Step 3: Cross multiply
    10,692.46x = 14,755.34 × 5,977.18
  4. Step 4: Simplify right side
    10,692.46x = 88,195,323.14
  5. Step 5: Solve for x
    x = 88,195,323.14/10,692.46
  6. Step 6: Final answer
    x = 8,248.37

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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.