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Finding the Fourth Proportional to 7,774.12, 11,661.36 and 1,930.78

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Solution

The fourth proportional to 7,774.12, 11,661.36 and 1,930.78 is: 2,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.12 : 11,661.36 = 1,930.78 : x
  2. Step 2: Convert to fraction form
    7,774.12/11,661.36 = 1,930.78/x
  3. Step 3: Cross multiply
    7,774.12x = 11,661.36 × 1,930.78
  4. Step 4: Simplify right side
    7,774.12x = 22,515,520.66
  5. Step 5: Solve for x
    x = 22,515,520.66/7,774.12
  6. Step 6: Final answer
    x = 2,896.21

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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.