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Finding the Fourth Proportional to 8,097.18, 12,138.90 and 3,165.50

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Solution

The fourth proportional to 8,097.18, 12,138.90 and 3,165.50 is: 4,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.18 : 12,138.90 = 3,165.50 : x
  2. Step 2: Convert to fraction form
    8,097.18/12,138.90 = 3,165.50/x
  3. Step 3: Cross multiply
    8,097.18x = 12,138.90 × 3,165.50
  4. Step 4: Simplify right side
    8,097.18x = 38,425,627.26
  5. Step 5: Solve for x
    x = 38,425,627.26/8,097.18
  6. Step 6: Final answer
    x = 4,745.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.