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Finding the Fourth Proportional to 11,815.37, 17,727.08 and 7,427.69

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Solution

The fourth proportional to 11,815.37, 17,727.08 and 7,427.69 is: 11,144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.37 : 17,727.08 = 7,427.69 : x
  2. Step 2: Convert to fraction form
    11,815.37/17,727.08 = 7,427.69/x
  3. Step 3: Cross multiply
    11,815.37x = 17,727.08 × 7,427.69
  4. Step 4: Simplify right side
    11,815.37x = 131,671,217.71
  5. Step 5: Solve for x
    x = 131,671,217.71/11,815.37
  6. Step 6: Final answer
    x = 11,144.06

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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.