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Finding the Fourth Proportional to 11,283.09, 16,940.17 and 5,740.19

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Solution

The fourth proportional to 11,283.09, 16,940.17 and 5,740.19 is: 8,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.09 : 16,940.17 = 5,740.19 : x
  2. Step 2: Convert to fraction form
    11,283.09/16,940.17 = 5,740.19/x
  3. Step 3: Cross multiply
    11,283.09x = 16,940.17 × 5,740.19
  4. Step 4: Simplify right side
    11,283.09x = 97,239,794.43
  5. Step 5: Solve for x
    x = 97,239,794.43/11,283.09
  6. Step 6: Final answer
    x = 8,618.19

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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.