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Finding the Fourth Proportional to 7,774.44, 11,661.66 and 2,841.39

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Solution

The fourth proportional to 7,774.44, 11,661.66 and 2,841.39 is: 4,262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.44 : 11,661.66 = 2,841.39 : x
  2. Step 2: Convert to fraction form
    7,774.44/11,661.66 = 2,841.39/x
  3. Step 3: Cross multiply
    7,774.44x = 11,661.66 × 2,841.39
  4. Step 4: Simplify right side
    7,774.44x = 33,135,309.90
  5. Step 5: Solve for x
    x = 33,135,309.90/7,774.44
  6. Step 6: Final answer
    x = 4,262.08

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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.