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Finding the Fourth Proportional to 10,121.11, 13,966.74 and 5,871.96

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Solution

The fourth proportional to 10,121.11, 13,966.74 and 5,871.96 is: 8,103.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.11 : 13,966.74 = 5,871.96 : x
  2. Step 2: Convert to fraction form
    10,121.11/13,966.74 = 5,871.96/x
  3. Step 3: Cross multiply
    10,121.11x = 13,966.74 × 5,871.96
  4. Step 4: Simplify right side
    10,121.11x = 82,012,138.61
  5. Step 5: Solve for x
    x = 82,012,138.61/10,121.11
  6. Step 6: Final answer
    x = 8,103.08

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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.