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Finding the Fourth Proportional to 11,586.42, 17,379.50 and 2,821.34

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Solution

The fourth proportional to 11,586.42, 17,379.50 and 2,821.34 is: 4,231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.42 : 17,379.50 = 2,821.34 : x
  2. Step 2: Convert to fraction form
    11,586.42/17,379.50 = 2,821.34/x
  3. Step 3: Cross multiply
    11,586.42x = 17,379.50 × 2,821.34
  4. Step 4: Simplify right side
    11,586.42x = 49,033,507.87
  5. Step 5: Solve for x
    x = 49,033,507.87/11,586.42
  6. Step 6: Final answer
    x = 4,231.98

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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.