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Finding the Fourth Proportional to 11,869.74, 16,380.21 and 6,832.13

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Solution

The fourth proportional to 11,869.74, 16,380.21 and 6,832.13 is: 9,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.74 : 16,380.21 = 6,832.13 : x
  2. Step 2: Convert to fraction form
    11,869.74/16,380.21 = 6,832.13/x
  3. Step 3: Cross multiply
    11,869.74x = 16,380.21 × 6,832.13
  4. Step 4: Simplify right side
    11,869.74x = 111,911,642.25
  5. Step 5: Solve for x
    x = 111,911,642.25/11,869.74
  6. Step 6: Final answer
    x = 9,428.31

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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.