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Finding the Fourth Proportional to 8,175.84, 12,257.56 and 4,222.83

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Solution

The fourth proportional to 8,175.84, 12,257.56 and 4,222.83 is: 6,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.84 : 12,257.56 = 4,222.83 : x
  2. Step 2: Convert to fraction form
    8,175.84/12,257.56 = 4,222.83/x
  3. Step 3: Cross multiply
    8,175.84x = 12,257.56 × 4,222.83
  4. Step 4: Simplify right side
    8,175.84x = 51,761,643.34
  5. Step 5: Solve for x
    x = 51,761,643.34/8,175.84
  6. Step 6: Final answer
    x = 6,331.05

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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.