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Finding the Fourth Proportional to 7,750.48, 11,624.52 and 2,204.08

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Solution

The fourth proportional to 7,750.48, 11,624.52 and 2,204.08 is: 3,305.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.48 : 11,624.52 = 2,204.08 : x
  2. Step 2: Convert to fraction form
    7,750.48/11,624.52 = 2,204.08/x
  3. Step 3: Cross multiply
    7,750.48x = 11,624.52 × 2,204.08
  4. Step 4: Simplify right side
    7,750.48x = 25,621,372.04
  5. Step 5: Solve for x
    x = 25,621,372.04/7,750.48
  6. Step 6: Final answer
    x = 3,305.78

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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.