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Finding the Fourth Proportional to 8,131.03, 12,199.49 and 3,197.93

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Solution

The fourth proportional to 8,131.03, 12,199.49 and 3,197.93 is: 4,798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.03 : 12,199.49 = 3,197.93 : x
  2. Step 2: Convert to fraction form
    8,131.03/12,199.49 = 3,197.93/x
  3. Step 3: Cross multiply
    8,131.03x = 12,199.49 × 3,197.93
  4. Step 4: Simplify right side
    8,131.03x = 39,013,115.06
  5. Step 5: Solve for x
    x = 39,013,115.06/8,131.03
  6. Step 6: Final answer
    x = 4,798.05

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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.