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Finding the Fourth Proportional to 10,586.56, 15,879.72 and 3,660.96

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Solution

The fourth proportional to 10,586.56, 15,879.72 and 3,660.96 is: 5,491.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.56 : 15,879.72 = 3,660.96 : x
  2. Step 2: Convert to fraction form
    10,586.56/15,879.72 = 3,660.96/x
  3. Step 3: Cross multiply
    10,586.56x = 15,879.72 × 3,660.96
  4. Step 4: Simplify right side
    10,586.56x = 58,135,019.73
  5. Step 5: Solve for x
    x = 58,135,019.73/10,586.56
  6. Step 6: Final answer
    x = 5,491.40

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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.