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Finding the Fourth Proportional to 10,666.38, 16,005.33 and 5,194.38

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Solution

The fourth proportional to 10,666.38, 16,005.33 and 5,194.38 is: 7,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.38 : 16,005.33 = 5,194.38 : x
  2. Step 2: Convert to fraction form
    10,666.38/16,005.33 = 5,194.38/x
  3. Step 3: Cross multiply
    10,666.38x = 16,005.33 × 5,194.38
  4. Step 4: Simplify right side
    10,666.38x = 83,137,660.05
  5. Step 5: Solve for x
    x = 83,137,660.05/10,666.38
  6. Step 6: Final answer
    x = 7,794.37

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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.