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Finding the Fourth Proportional to 7,775.72, 11,661.86 and 2,229.04

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Solution

The fourth proportional to 7,775.72, 11,661.86 and 2,229.04 is: 3,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.72 : 11,661.86 = 2,229.04 : x
  2. Step 2: Convert to fraction form
    7,775.72/11,661.86 = 2,229.04/x
  3. Step 3: Cross multiply
    7,775.72x = 11,661.86 × 2,229.04
  4. Step 4: Simplify right side
    7,775.72x = 25,994,741.27
  5. Step 5: Solve for x
    x = 25,994,741.27/7,775.72
  6. Step 6: Final answer
    x = 3,343.07

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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.