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Finding the Fourth Proportional to 7,974.78, 11,005.68 and 4,831.26

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Solution

The fourth proportional to 7,974.78, 11,005.68 and 4,831.26 is: 6,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.78 : 11,005.68 = 4,831.26 : x
  2. Step 2: Convert to fraction form
    7,974.78/11,005.68 = 4,831.26/x
  3. Step 3: Cross multiply
    7,974.78x = 11,005.68 × 4,831.26
  4. Step 4: Simplify right side
    7,974.78x = 53,171,301.56
  5. Step 5: Solve for x
    x = 53,171,301.56/7,974.78
  6. Step 6: Final answer
    x = 6,667.43

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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.