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Finding the Fourth Proportional to 8,131.53, 12,198.11 and 2,208.51

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Solution

The fourth proportional to 8,131.53, 12,198.11 and 2,208.51 is: 3,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.53 : 12,198.11 = 2,208.51 : x
  2. Step 2: Convert to fraction form
    8,131.53/12,198.11 = 2,208.51/x
  3. Step 3: Cross multiply
    8,131.53x = 12,198.11 × 2,208.51
  4. Step 4: Simplify right side
    8,131.53x = 26,939,636.87
  5. Step 5: Solve for x
    x = 26,939,636.87/8,131.53
  6. Step 6: Final answer
    x = 3,312.98

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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.