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Finding the Fourth Proportional to 8,239.56, 12,361.16 and 2,396.63

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Solution

The fourth proportional to 8,239.56, 12,361.16 and 2,396.63 is: 3,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.56 : 12,361.16 = 2,396.63 : x
  2. Step 2: Convert to fraction form
    8,239.56/12,361.16 = 2,396.63/x
  3. Step 3: Cross multiply
    8,239.56x = 12,361.16 × 2,396.63
  4. Step 4: Simplify right side
    8,239.56x = 29,625,071.08
  5. Step 5: Solve for x
    x = 29,625,071.08/8,239.56
  6. Step 6: Final answer
    x = 3,595.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.