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Finding the Fourth Proportional to 7,776.10, 11,660.72 and 2,228.18

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Solution

The fourth proportional to 7,776.10, 11,660.72 and 2,228.18 is: 3,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.10 : 11,660.72 = 2,228.18 : x
  2. Step 2: Convert to fraction form
    7,776.10/11,660.72 = 2,228.18/x
  3. Step 3: Cross multiply
    7,776.10x = 11,660.72 × 2,228.18
  4. Step 4: Simplify right side
    7,776.10x = 25,982,183.09
  5. Step 5: Solve for x
    x = 25,982,183.09/7,776.10
  6. Step 6: Final answer
    x = 3,341.29

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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.