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Finding the Fourth Proportional to 10,596.50, 15,891.44 and 3,669.38

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Solution

The fourth proportional to 10,596.50, 15,891.44 and 3,669.38 is: 5,502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.50 : 15,891.44 = 3,669.38 : x
  2. Step 2: Convert to fraction form
    10,596.50/15,891.44 = 3,669.38/x
  3. Step 3: Cross multiply
    10,596.50x = 15,891.44 × 3,669.38
  4. Step 4: Simplify right side
    10,596.50x = 58,311,634.30
  5. Step 5: Solve for x
    x = 58,311,634.30/10,596.50
  6. Step 6: Final answer
    x = 5,502.92

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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.