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Finding the Fourth Proportional to 7,775.36, 11,659.61 and 2,227.45

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Solution

The fourth proportional to 7,775.36, 11,659.61 and 2,227.45 is: 3,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.36 : 11,659.61 = 2,227.45 : x
  2. Step 2: Convert to fraction form
    7,775.36/11,659.61 = 2,227.45/x
  3. Step 3: Cross multiply
    7,775.36x = 11,659.61 × 2,227.45
  4. Step 4: Simplify right side
    7,775.36x = 25,971,198.29
  5. Step 5: Solve for x
    x = 25,971,198.29/7,775.36
  6. Step 6: Final answer
    x = 3,340.19

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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.