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Finding the Fourth Proportional to 8,110.42, 12,164 and 2,267.08

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Solution

The fourth proportional to 8,110.42, 12,164 and 2,267.08 is: 3,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.42 : 12,164 = 2,267.08 : x
  2. Step 2: Convert to fraction form
    8,110.42/12,164 = 2,267.08/x
  3. Step 3: Cross multiply
    8,110.42x = 12,164 × 2,267.08
  4. Step 4: Simplify right side
    8,110.42x = 27,576,761.12
  5. Step 5: Solve for x
    x = 27,576,761.12/8,110.42
  6. Step 6: Final answer
    x = 3,400.16

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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.