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Finding the Fourth Proportional to 7,750.38, 11,624.64 and 2,816.87

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Solution

The fourth proportional to 7,750.38, 11,624.64 and 2,816.87 is: 4,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.38 : 11,624.64 = 2,816.87 : x
  2. Step 2: Convert to fraction form
    7,750.38/11,624.64 = 2,816.87/x
  3. Step 3: Cross multiply
    7,750.38x = 11,624.64 × 2,816.87
  4. Step 4: Simplify right side
    7,750.38x = 32,745,099.68
  5. Step 5: Solve for x
    x = 32,745,099.68/7,750.38
  6. Step 6: Final answer
    x = 4,224.97

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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.