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Finding the Fourth Proportional to 10,441.92, 15,662.88 and 5,246.56

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Solution

The fourth proportional to 10,441.92, 15,662.88 and 5,246.56 is: 7,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.92 : 15,662.88 = 5,246.56 : x
  2. Step 2: Convert to fraction form
    10,441.92/15,662.88 = 5,246.56/x
  3. Step 3: Cross multiply
    10,441.92x = 15,662.88 × 5,246.56
  4. Step 4: Simplify right side
    10,441.92x = 82,176,239.69
  5. Step 5: Solve for x
    x = 82,176,239.69/10,441.92
  6. Step 6: Final answer
    x = 7,869.84

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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.