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Finding the Fourth Proportional to 11,896.02, 17,831.15 and 7,739

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Solution

The fourth proportional to 11,896.02, 17,831.15 and 7,739 is: 11,600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.02 : 17,831.15 = 7,739 : x
  2. Step 2: Convert to fraction form
    11,896.02/17,831.15 = 7,739/x
  3. Step 3: Cross multiply
    11,896.02x = 17,831.15 × 7,739
  4. Step 4: Simplify right side
    11,896.02x = 137,995,269.85
  5. Step 5: Solve for x
    x = 137,995,269.85/11,896.02
  6. Step 6: Final answer
    x = 11,600.12

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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.