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Finding the Fourth Proportional to 10,288.50, 14,198.02 and 5,812.18

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Solution

The fourth proportional to 10,288.50, 14,198.02 and 5,812.18 is: 8,020.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.50 : 14,198.02 = 5,812.18 : x
  2. Step 2: Convert to fraction form
    10,288.50/14,198.02 = 5,812.18/x
  3. Step 3: Cross multiply
    10,288.50x = 14,198.02 × 5,812.18
  4. Step 4: Simplify right side
    10,288.50x = 82,521,447.88
  5. Step 5: Solve for x
    x = 82,521,447.88/10,288.50
  6. Step 6: Final answer
    x = 8,020.75

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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.