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Finding the Fourth Proportional to 8,235.16, 12,340.94 and 7,791.64

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Solution

The fourth proportional to 8,235.16, 12,340.94 and 7,791.64 is: 11,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.16 : 12,340.94 = 7,791.64 : x
  2. Step 2: Convert to fraction form
    8,235.16/12,340.94 = 7,791.64/x
  3. Step 3: Cross multiply
    8,235.16x = 12,340.94 × 7,791.64
  4. Step 4: Simplify right side
    8,235.16x = 96,156,161.74
  5. Step 5: Solve for x
    x = 96,156,161.74/8,235.16
  6. Step 6: Final answer
    x = 11,676.30

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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.