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Finding the Fourth Proportional to 11,831.04, 17,744.64 and 4,039.68

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Solution

The fourth proportional to 11,831.04, 17,744.64 and 4,039.68 is: 6,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,831.04 : 17,744.64 = 4,039.68 : x
  2. Step 2: Convert to fraction form
    11,831.04/17,744.64 = 4,039.68/x
  3. Step 3: Cross multiply
    11,831.04x = 17,744.64 × 4,039.68
  4. Step 4: Simplify right side
    11,831.04x = 71,682,667.32
  5. Step 5: Solve for x
    x = 71,682,667.32/11,831.04
  6. Step 6: Final answer
    x = 6,058.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.