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Finding the Fourth Proportional to 10,786.01, 16,185.29 and 4,211.87

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Solution

The fourth proportional to 10,786.01, 16,185.29 and 4,211.87 is: 6,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.01 : 16,185.29 = 4,211.87 : x
  2. Step 2: Convert to fraction form
    10,786.01/16,185.29 = 4,211.87/x
  3. Step 3: Cross multiply
    10,786.01x = 16,185.29 × 4,211.87
  4. Step 4: Simplify right side
    10,786.01x = 68,170,235.41
  5. Step 5: Solve for x
    x = 68,170,235.41/10,786.01
  6. Step 6: Final answer
    x = 6,320.25

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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.