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Finding the Fourth Proportional to 8,167.32, 11,267.68 and 5,333.80

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Solution

The fourth proportional to 8,167.32, 11,267.68 and 5,333.80 is: 7,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.32 : 11,267.68 = 5,333.80 : x
  2. Step 2: Convert to fraction form
    8,167.32/11,267.68 = 5,333.80/x
  3. Step 3: Cross multiply
    8,167.32x = 11,267.68 × 5,333.80
  4. Step 4: Simplify right side
    8,167.32x = 60,099,551.58
  5. Step 5: Solve for x
    x = 60,099,551.58/8,167.32
  6. Step 6: Final answer
    x = 7,358.54

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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.