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Finding the Fourth Proportional to 8,440.36, 12,646.84 and 5,143.44

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Solution

The fourth proportional to 8,440.36, 12,646.84 and 5,143.44 is: 7,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.36 : 12,646.84 = 5,143.44 : x
  2. Step 2: Convert to fraction form
    8,440.36/12,646.84 = 5,143.44/x
  3. Step 3: Cross multiply
    8,440.36x = 12,646.84 × 5,143.44
  4. Step 4: Simplify right side
    8,440.36x = 65,048,262.73
  5. Step 5: Solve for x
    x = 65,048,262.73/8,440.36
  6. Step 6: Final answer
    x = 7,706.81

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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.