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Finding the Fourth Proportional to 8,257.48, 11,396.64 and 6,371.80

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Solution

The fourth proportional to 8,257.48, 11,396.64 and 6,371.80 is: 8,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.48 : 11,396.64 = 6,371.80 : x
  2. Step 2: Convert to fraction form
    8,257.48/11,396.64 = 6,371.80/x
  3. Step 3: Cross multiply
    8,257.48x = 11,396.64 × 6,371.80
  4. Step 4: Simplify right side
    8,257.48x = 72,617,110.75
  5. Step 5: Solve for x
    x = 72,617,110.75/8,257.48
  6. Step 6: Final answer
    x = 8,794.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.