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Finding the Fourth Proportional to 11,866.32, 17,831.81 and 6,323.62

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Solution

The fourth proportional to 11,866.32, 17,831.81 and 6,323.62 is: 9,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,866.32 : 17,831.81 = 6,323.62 : x
  2. Step 2: Convert to fraction form
    11,866.32/17,831.81 = 6,323.62/x
  3. Step 3: Cross multiply
    11,866.32x = 17,831.81 × 6,323.62
  4. Step 4: Simplify right side
    11,866.32x = 112,761,558.73
  5. Step 5: Solve for x
    x = 112,761,558.73/11,866.32
  6. Step 6: Final answer
    x = 9,502.66

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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.