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Finding the Fourth Proportional to 10,169.34, 14,033.43 and 5,692.88

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Solution

The fourth proportional to 10,169.34, 14,033.43 and 5,692.88 is: 7,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,169.34 : 14,033.43 = 5,692.88 : x
  2. Step 2: Convert to fraction form
    10,169.34/14,033.43 = 5,692.88/x
  3. Step 3: Cross multiply
    10,169.34x = 14,033.43 × 5,692.88
  4. Step 4: Simplify right side
    10,169.34x = 79,890,562.81
  5. Step 5: Solve for x
    x = 79,890,562.81/10,169.34
  6. Step 6: Final answer
    x = 7,856.02

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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.