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Finding the Fourth Proportional to 12,137.25, 18,212.95 and 5,116.83

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Solution

The fourth proportional to 12,137.25, 18,212.95 and 5,116.83 is: 7,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.25 : 18,212.95 = 5,116.83 : x
  2. Step 2: Convert to fraction form
    12,137.25/18,212.95 = 5,116.83/x
  3. Step 3: Cross multiply
    12,137.25x = 18,212.95 × 5,116.83
  4. Step 4: Simplify right side
    12,137.25x = 93,192,568.95
  5. Step 5: Solve for x
    x = 93,192,568.95/12,137.25
  6. Step 6: Final answer
    x = 7,678.23

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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.