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Finding the Fourth Proportional to 8,105.63, 12,158.22 and 2,262.07

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Solution

The fourth proportional to 8,105.63, 12,158.22 and 2,262.07 is: 3,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.63 : 12,158.22 = 2,262.07 : x
  2. Step 2: Convert to fraction form
    8,105.63/12,158.22 = 2,262.07/x
  3. Step 3: Cross multiply
    8,105.63x = 12,158.22 × 2,262.07
  4. Step 4: Simplify right side
    8,105.63x = 27,502,683.92
  5. Step 5: Solve for x
    x = 27,502,683.92/8,105.63
  6. Step 6: Final answer
    x = 3,393.03

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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.