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Finding the Fourth Proportional to 8,197.16, 12,297.56 and 2,353.32

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Solution

The fourth proportional to 8,197.16, 12,297.56 and 2,353.32 is: 3,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.16 : 12,297.56 = 2,353.32 : x
  2. Step 2: Convert to fraction form
    8,197.16/12,297.56 = 2,353.32/x
  3. Step 3: Cross multiply
    8,197.16x = 12,297.56 × 2,353.32
  4. Step 4: Simplify right side
    8,197.16x = 28,940,093.90
  5. Step 5: Solve for x
    x = 28,940,093.90/8,197.16
  6. Step 6: Final answer
    x = 3,530.50

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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.