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Finding the Fourth Proportional to 12,046.42, 18,061.92 and 5,793.98

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Solution

The fourth proportional to 12,046.42, 18,061.92 and 5,793.98 is: 8,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.42 : 18,061.92 = 5,793.98 : x
  2. Step 2: Convert to fraction form
    12,046.42/18,061.92 = 5,793.98/x
  3. Step 3: Cross multiply
    12,046.42x = 18,061.92 × 5,793.98
  4. Step 4: Simplify right side
    12,046.42x = 104,650,448.40
  5. Step 5: Solve for x
    x = 104,650,448.40/12,046.42
  6. Step 6: Final answer
    x = 8,687.27

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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.