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Finding the Fourth Proportional to 10,292.72, 14,203.81 and 5,817.42

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Solution

The fourth proportional to 10,292.72, 14,203.81 and 5,817.42 is: 8,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.72 : 14,203.81 = 5,817.42 : x
  2. Step 2: Convert to fraction form
    10,292.72/14,203.81 = 5,817.42/x
  3. Step 3: Cross multiply
    10,292.72x = 14,203.81 × 5,817.42
  4. Step 4: Simplify right side
    10,292.72x = 82,629,502.92
  5. Step 5: Solve for x
    x = 82,629,502.92/10,292.72
  6. Step 6: Final answer
    x = 8,027.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.