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Finding the Fourth Proportional to 7,790.40, 11,686.21 and 3,843.78

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Solution

The fourth proportional to 7,790.40, 11,686.21 and 3,843.78 is: 5,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.40 : 11,686.21 = 3,843.78 : x
  2. Step 2: Convert to fraction form
    7,790.40/11,686.21 = 3,843.78/x
  3. Step 3: Cross multiply
    7,790.40x = 11,686.21 × 3,843.78
  4. Step 4: Simplify right side
    7,790.40x = 44,919,166.84
  5. Step 5: Solve for x
    x = 44,919,166.84/7,790.40
  6. Step 6: Final answer
    x = 5,765.96

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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.