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Finding the Fourth Proportional to 11,833.96, 16,328.60 and 6,798.18

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Solution

The fourth proportional to 11,833.96, 16,328.60 and 6,798.18 is: 9,380.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.96 : 16,328.60 = 6,798.18 : x
  2. Step 2: Convert to fraction form
    11,833.96/16,328.60 = 6,798.18/x
  3. Step 3: Cross multiply
    11,833.96x = 16,328.60 × 6,798.18
  4. Step 4: Simplify right side
    11,833.96x = 111,004,761.95
  5. Step 5: Solve for x
    x = 111,004,761.95/11,833.96
  6. Step 6: Final answer
    x = 9,380.19

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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.