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Finding the Fourth Proportional to 8,240.16, 12,362.27 and 2,396.82

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Solution

The fourth proportional to 8,240.16, 12,362.27 and 2,396.82 is: 3,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.16 : 12,362.27 = 2,396.82 : x
  2. Step 2: Convert to fraction form
    8,240.16/12,362.27 = 2,396.82/x
  3. Step 3: Cross multiply
    8,240.16x = 12,362.27 × 2,396.82
  4. Step 4: Simplify right side
    8,240.16x = 29,630,135.98
  5. Step 5: Solve for x
    x = 29,630,135.98/8,240.16
  6. Step 6: Final answer
    x = 3,595.82

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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.