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Finding the Fourth Proportional to 10,692.42, 14,756.22 and 5,977.05

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Solution

The fourth proportional to 10,692.42, 14,756.22 and 5,977.05 is: 8,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.42 : 14,756.22 = 5,977.05 : x
  2. Step 2: Convert to fraction form
    10,692.42/14,756.22 = 5,977.05/x
  3. Step 3: Cross multiply
    10,692.42x = 14,756.22 × 5,977.05
  4. Step 4: Simplify right side
    10,692.42x = 88,198,664.75
  5. Step 5: Solve for x
    x = 88,198,664.75/10,692.42
  6. Step 6: Final answer
    x = 8,248.71

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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.