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Finding the Fourth Proportional to 11,951.85, 16,499.13 and 7,478.49

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Solution

The fourth proportional to 11,951.85, 16,499.13 and 7,478.49 is: 10,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.85 : 16,499.13 = 7,478.49 : x
  2. Step 2: Convert to fraction form
    11,951.85/16,499.13 = 7,478.49/x
  3. Step 3: Cross multiply
    11,951.85x = 16,499.13 × 7,478.49
  4. Step 4: Simplify right side
    11,951.85x = 123,388,578.71
  5. Step 5: Solve for x
    x = 123,388,578.71/11,951.85
  6. Step 6: Final answer
    x = 10,323.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.