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Finding the Fourth Proportional to 8,212.49, 12,298.97 and 4,691.82

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Solution

The fourth proportional to 8,212.49, 12,298.97 and 4,691.82 is: 7,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.49 : 12,298.97 = 4,691.82 : x
  2. Step 2: Convert to fraction form
    8,212.49/12,298.97 = 4,691.82/x
  3. Step 3: Cross multiply
    8,212.49x = 12,298.97 × 4,691.82
  4. Step 4: Simplify right side
    8,212.49x = 57,704,611.28
  5. Step 5: Solve for x
    x = 57,704,611.28/8,212.49
  6. Step 6: Final answer
    x = 7,026.45

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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.