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Finding the Fourth Proportional to 8,166.68, 11,257.93 and 6,372.12

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Solution

The fourth proportional to 8,166.68, 11,257.93 and 6,372.12 is: 8,784.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.68 : 11,257.93 = 6,372.12 : x
  2. Step 2: Convert to fraction form
    8,166.68/11,257.93 = 6,372.12/x
  3. Step 3: Cross multiply
    8,166.68x = 11,257.93 × 6,372.12
  4. Step 4: Simplify right side
    8,166.68x = 71,736,880.91
  5. Step 5: Solve for x
    x = 71,736,880.91/8,166.68
  6. Step 6: Final answer
    x = 8,784.09

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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.