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Finding the Fourth Proportional to 8,131.61, 12,197.12 and 3,448.59

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Solution

The fourth proportional to 8,131.61, 12,197.12 and 3,448.59 is: 5,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.61 : 12,197.12 = 3,448.59 : x
  2. Step 2: Convert to fraction form
    8,131.61/12,197.12 = 3,448.59/x
  3. Step 3: Cross multiply
    8,131.61x = 12,197.12 × 3,448.59
  4. Step 4: Simplify right side
    8,131.61x = 42,062,848.82
  5. Step 5: Solve for x
    x = 42,062,848.82/8,131.61
  6. Step 6: Final answer
    x = 5,172.76

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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.