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Finding the Fourth Proportional to 10,861.78, 16,288.80 and 4,286.20

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Solution

The fourth proportional to 10,861.78, 16,288.80 and 4,286.20 is: 6,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.78 : 16,288.80 = 4,286.20 : x
  2. Step 2: Convert to fraction form
    10,861.78/16,288.80 = 4,286.20/x
  3. Step 3: Cross multiply
    10,861.78x = 16,288.80 × 4,286.20
  4. Step 4: Simplify right side
    10,861.78x = 69,817,054.56
  5. Step 5: Solve for x
    x = 69,817,054.56/10,861.78
  6. Step 6: Final answer
    x = 6,427.77

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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.