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Finding the Fourth Proportional to 7,771.39, 11,657.50 and 2,225.54

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Solution

The fourth proportional to 7,771.39, 11,657.50 and 2,225.54 is: 3,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.39 : 11,657.50 = 2,225.54 : x
  2. Step 2: Convert to fraction form
    7,771.39/11,657.50 = 2,225.54/x
  3. Step 3: Cross multiply
    7,771.39x = 11,657.50 × 2,225.54
  4. Step 4: Simplify right side
    7,771.39x = 25,944,256.13
  5. Step 5: Solve for x
    x = 25,944,256.13/7,771.39
  6. Step 6: Final answer
    x = 3,338.43

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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.