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Finding the Fourth Proportional to 10,722.06, 16,061.04 and 5,158.98

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Solution

The fourth proportional to 10,722.06, 16,061.04 and 5,158.98 is: 7,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.06 : 16,061.04 = 5,158.98 : x
  2. Step 2: Convert to fraction form
    10,722.06/16,061.04 = 5,158.98/x
  3. Step 3: Cross multiply
    10,722.06x = 16,061.04 × 5,158.98
  4. Step 4: Simplify right side
    10,722.06x = 82,858,584.14
  5. Step 5: Solve for x
    x = 82,858,584.14/10,722.06
  6. Step 6: Final answer
    x = 7,727.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.