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Finding the Fourth Proportional to 8,013.96, 12,018.78 and 3,627

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Solution

The fourth proportional to 8,013.96, 12,018.78 and 3,627 is: 5,439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.96 : 12,018.78 = 3,627 : x
  2. Step 2: Convert to fraction form
    8,013.96/12,018.78 = 3,627/x
  3. Step 3: Cross multiply
    8,013.96x = 12,018.78 × 3,627
  4. Step 4: Simplify right side
    8,013.96x = 43,592,115.06
  5. Step 5: Solve for x
    x = 43,592,115.06/8,013.96
  6. Step 6: Final answer
    x = 5,439.52

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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.