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Finding the Fourth Proportional to 8,115.34, 12,164.10 and 3,184.06

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Solution

The fourth proportional to 8,115.34, 12,164.10 and 3,184.06 is: 4,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.34 : 12,164.10 = 3,184.06 : x
  2. Step 2: Convert to fraction form
    8,115.34/12,164.10 = 3,184.06/x
  3. Step 3: Cross multiply
    8,115.34x = 12,164.10 × 3,184.06
  4. Step 4: Simplify right side
    8,115.34x = 38,731,224.25
  5. Step 5: Solve for x
    x = 38,731,224.25/8,115.34
  6. Step 6: Final answer
    x = 4,772.59

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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.