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Finding the Fourth Proportional to 7,846.15, 11,760.31 and 3,900.17

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Solution

The fourth proportional to 7,846.15, 11,760.31 and 3,900.17 is: 5,845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.15 : 11,760.31 = 3,900.17 : x
  2. Step 2: Convert to fraction form
    7,846.15/11,760.31 = 3,900.17/x
  3. Step 3: Cross multiply
    7,846.15x = 11,760.31 × 3,900.17
  4. Step 4: Simplify right side
    7,846.15x = 45,867,154.44
  5. Step 5: Solve for x
    x = 45,867,154.44/7,846.15
  6. Step 6: Final answer
    x = 5,845.82

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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.