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Finding the Fourth Proportional to 8,222.58, 12,334.41 and 2,958.66

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Solution

The fourth proportional to 8,222.58, 12,334.41 and 2,958.66 is: 4,438.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.58 : 12,334.41 = 2,958.66 : x
  2. Step 2: Convert to fraction form
    8,222.58/12,334.41 = 2,958.66/x
  3. Step 3: Cross multiply
    8,222.58x = 12,334.41 × 2,958.66
  4. Step 4: Simplify right side
    8,222.58x = 36,493,325.49
  5. Step 5: Solve for x
    x = 36,493,325.49/8,222.58
  6. Step 6: Final answer
    x = 4,438.18

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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.