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Finding the Fourth Proportional to 8,110.24, 12,164.98 and 8,022.40

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Solution

The fourth proportional to 8,110.24, 12,164.98 and 8,022.40 is: 12,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.24 : 12,164.98 = 8,022.40 : x
  2. Step 2: Convert to fraction form
    8,110.24/12,164.98 = 8,022.40/x
  3. Step 3: Cross multiply
    8,110.24x = 12,164.98 × 8,022.40
  4. Step 4: Simplify right side
    8,110.24x = 97,592,335.55
  5. Step 5: Solve for x
    x = 97,592,335.55/8,110.24
  6. Step 6: Final answer
    x = 12,033.22

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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.