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Finding the Fourth Proportional to 8,109.51, 12,164.03 and 2,265.96

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Solution

The fourth proportional to 8,109.51, 12,164.03 and 2,265.96 is: 3,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.51 : 12,164.03 = 2,265.96 : x
  2. Step 2: Convert to fraction form
    8,109.51/12,164.03 = 2,265.96/x
  3. Step 3: Cross multiply
    8,109.51x = 12,164.03 × 2,265.96
  4. Step 4: Simplify right side
    8,109.51x = 27,563,205.42
  5. Step 5: Solve for x
    x = 27,563,205.42/8,109.51
  6. Step 6: Final answer
    x = 3,398.87

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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.