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Finding the Fourth Proportional to 11,707.54, 16,150.73 and 7,229.66

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Solution

The fourth proportional to 11,707.54, 16,150.73 and 7,229.66 is: 9,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.54 : 16,150.73 = 7,229.66 : x
  2. Step 2: Convert to fraction form
    11,707.54/16,150.73 = 7,229.66/x
  3. Step 3: Cross multiply
    11,707.54x = 16,150.73 × 7,229.66
  4. Step 4: Simplify right side
    11,707.54x = 116,764,169.75
  5. Step 5: Solve for x
    x = 116,764,169.75/11,707.54
  6. Step 6: Final answer
    x = 9,973.42

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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.