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Finding the Fourth Proportional to 10,438.44, 15,632.82 and 5,751.24

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Solution

The fourth proportional to 10,438.44, 15,632.82 and 5,751.24 is: 8,613.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.44 : 15,632.82 = 5,751.24 : x
  2. Step 2: Convert to fraction form
    10,438.44/15,632.82 = 5,751.24/x
  3. Step 3: Cross multiply
    10,438.44x = 15,632.82 × 5,751.24
  4. Step 4: Simplify right side
    10,438.44x = 89,908,099.70
  5. Step 5: Solve for x
    x = 89,908,099.70/10,438.44
  6. Step 6: Final answer
    x = 8,613.17

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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.