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Finding the Fourth Proportional to 11,831.44, 17,749.80 and 4,906

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Solution

The fourth proportional to 11,831.44, 17,749.80 and 4,906 is: 7,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.44 : 17,749.80 = 4,906 : x
  2. Step 2: Convert to fraction form
    11,831.44/17,749.80 = 4,906/x
  3. Step 3: Cross multiply
    11,831.44x = 17,749.80 × 4,906
  4. Step 4: Simplify right side
    11,831.44x = 87,080,518.80
  5. Step 5: Solve for x
    x = 87,080,518.80/11,831.44
  6. Step 6: Final answer
    x = 7,360.09

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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.