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Finding the Fourth Proportional to 11,224.78, 16,823.50 and 7,938.81

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Solution

The fourth proportional to 11,224.78, 16,823.50 and 7,938.81 is: 11,898.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.78 : 16,823.50 = 7,938.81 : x
  2. Step 2: Convert to fraction form
    11,224.78/16,823.50 = 7,938.81/x
  3. Step 3: Cross multiply
    11,224.78x = 16,823.50 × 7,938.81
  4. Step 4: Simplify right side
    11,224.78x = 133,558,550.19
  5. Step 5: Solve for x
    x = 133,558,550.19/11,224.78
  6. Step 6: Final answer
    x = 11,898.55

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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.