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Finding the Fourth Proportional to 10,589.70, 15,884.45 and 2,692.24

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Solution

The fourth proportional to 10,589.70, 15,884.45 and 2,692.24 is: 4,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.70 : 15,884.45 = 2,692.24 : x
  2. Step 2: Convert to fraction form
    10,589.70/15,884.45 = 2,692.24/x
  3. Step 3: Cross multiply
    10,589.70x = 15,884.45 × 2,692.24
  4. Step 4: Simplify right side
    10,589.70x = 42,764,718.69
  5. Step 5: Solve for x
    x = 42,764,718.69/10,589.70
  6. Step 6: Final answer
    x = 4,038.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.