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Finding the Fourth Proportional to 11,815.12, 17,726.70 and 7,427.44

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Solution

The fourth proportional to 11,815.12, 17,726.70 and 7,427.44 is: 11,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.12 : 17,726.70 = 7,427.44 : x
  2. Step 2: Convert to fraction form
    11,815.12/17,726.70 = 7,427.44/x
  3. Step 3: Cross multiply
    11,815.12x = 17,726.70 × 7,427.44
  4. Step 4: Simplify right side
    11,815.12x = 131,664,000.65
  5. Step 5: Solve for x
    x = 131,664,000.65/11,815.12
  6. Step 6: Final answer
    x = 11,143.69

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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.