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Finding the Fourth Proportional to 8,222.68, 12,334.02 and 4,758.04

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Solution

The fourth proportional to 8,222.68, 12,334.02 and 4,758.04 is: 7,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.68 : 12,334.02 = 4,758.04 : x
  2. Step 2: Convert to fraction form
    8,222.68/12,334.02 = 4,758.04/x
  3. Step 3: Cross multiply
    8,222.68x = 12,334.02 × 4,758.04
  4. Step 4: Simplify right side
    8,222.68x = 58,685,760.52
  5. Step 5: Solve for x
    x = 58,685,760.52/8,222.68
  6. Step 6: Final answer
    x = 7,137.06

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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.