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Finding the Fourth Proportional to 11,871.96, 16,387.45 and 6,838.22

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Solution

The fourth proportional to 11,871.96, 16,387.45 and 6,838.22 is: 9,439.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.96 : 16,387.45 = 6,838.22 : x
  2. Step 2: Convert to fraction form
    11,871.96/16,387.45 = 6,838.22/x
  3. Step 3: Cross multiply
    11,871.96x = 16,387.45 × 6,838.22
  4. Step 4: Simplify right side
    11,871.96x = 112,060,889.31
  5. Step 5: Solve for x
    x = 112,060,889.31/11,871.96
  6. Step 6: Final answer
    x = 9,439.12

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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.