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Finding the Fourth Proportional to 10,168.25, 14,027.90 and 6,812.15

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Solution

The fourth proportional to 10,168.25, 14,027.90 and 6,812.15 is: 9,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.25 : 14,027.90 = 6,812.15 : x
  2. Step 2: Convert to fraction form
    10,168.25/14,027.90 = 6,812.15/x
  3. Step 3: Cross multiply
    10,168.25x = 14,027.90 × 6,812.15
  4. Step 4: Simplify right side
    10,168.25x = 95,560,054.78
  5. Step 5: Solve for x
    x = 95,560,054.78/10,168.25
  6. Step 6: Final answer
    x = 9,397.89

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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.