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Finding the Fourth Proportional to 10,956.72, 16,439.14 and 7,861.44

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Solution

The fourth proportional to 10,956.72, 16,439.14 and 7,861.44 is: 11,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.72 : 16,439.14 = 7,861.44 : x
  2. Step 2: Convert to fraction form
    10,956.72/16,439.14 = 7,861.44/x
  3. Step 3: Cross multiply
    10,956.72x = 16,439.14 × 7,861.44
  4. Step 4: Simplify right side
    10,956.72x = 129,235,312.76
  5. Step 5: Solve for x
    x = 129,235,312.76/10,956.72
  6. Step 6: Final answer
    x = 11,795.07

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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.