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Finding the Fourth Proportional to 8,197.12, 11,312.22 and 4,660.30

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Solution

The fourth proportional to 8,197.12, 11,312.22 and 4,660.30 is: 6,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.12 : 11,312.22 = 4,660.30 : x
  2. Step 2: Convert to fraction form
    8,197.12/11,312.22 = 4,660.30/x
  3. Step 3: Cross multiply
    8,197.12x = 11,312.22 × 4,660.30
  4. Step 4: Simplify right side
    8,197.12x = 52,718,338.87
  5. Step 5: Solve for x
    x = 52,718,338.87/8,197.12
  6. Step 6: Final answer
    x = 6,431.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.