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Finding the Fourth Proportional to 11,586.52, 17,379.81 and 2,821.42

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Solution

The fourth proportional to 11,586.52, 17,379.81 and 2,821.42 is: 4,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.52 : 17,379.81 = 2,821.42 : x
  2. Step 2: Convert to fraction form
    11,586.52/17,379.81 = 2,821.42/x
  3. Step 3: Cross multiply
    11,586.52x = 17,379.81 × 2,821.42
  4. Step 4: Simplify right side
    11,586.52x = 49,035,743.53
  5. Step 5: Solve for x
    x = 49,035,743.53/11,586.52
  6. Step 6: Final answer
    x = 4,232.14

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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.