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Finding the Fourth Proportional to 10,287.75, 14,197.70 and 5,811.39

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Solution

The fourth proportional to 10,287.75, 14,197.70 and 5,811.39 is: 8,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.75 : 14,197.70 = 5,811.39 : x
  2. Step 2: Convert to fraction form
    10,287.75/14,197.70 = 5,811.39/x
  3. Step 3: Cross multiply
    10,287.75x = 14,197.70 × 5,811.39
  4. Step 4: Simplify right side
    10,287.75x = 82,508,386.33
  5. Step 5: Solve for x
    x = 82,508,386.33/10,287.75
  6. Step 6: Final answer
    x = 8,020.06

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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.