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Finding the Fourth Proportional to 12,078.99, 18,096.78 and 7,396.77

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Solution

The fourth proportional to 12,078.99, 18,096.78 and 7,396.77 is: 11,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.99 : 18,096.78 = 7,396.77 : x
  2. Step 2: Convert to fraction form
    12,078.99/18,096.78 = 7,396.77/x
  3. Step 3: Cross multiply
    12,078.99x = 18,096.78 × 7,396.77
  4. Step 4: Simplify right side
    12,078.99x = 133,857,719.40
  5. Step 5: Solve for x
    x = 133,857,719.40/12,078.99
  6. Step 6: Final answer
    x = 11,081.86

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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.