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Finding the Fourth Proportional to 11,932.67, 16,470.86 and 8,406.20

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Solution

The fourth proportional to 11,932.67, 16,470.86 and 8,406.20 is: 11,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.67 : 16,470.86 = 8,406.20 : x
  2. Step 2: Convert to fraction form
    11,932.67/16,470.86 = 8,406.20/x
  3. Step 3: Cross multiply
    11,932.67x = 16,470.86 × 8,406.20
  4. Step 4: Simplify right side
    11,932.67x = 138,457,343.33
  5. Step 5: Solve for x
    x = 138,457,343.33/11,932.67
  6. Step 6: Final answer
    x = 11,603.22

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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.