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Finding the Fourth Proportional to 7,274.09, 10,027.67 and 5,782.61

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Solution

The fourth proportional to 7,274.09, 10,027.67 and 5,782.61 is: 7,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.09 : 10,027.67 = 5,782.61 : x
  2. Step 2: Convert to fraction form
    7,274.09/10,027.67 = 5,782.61/x
  3. Step 3: Cross multiply
    7,274.09x = 10,027.67 × 5,782.61
  4. Step 4: Simplify right side
    7,274.09x = 57,986,100.97
  5. Step 5: Solve for x
    x = 57,986,100.97/7,274.09
  6. Step 6: Final answer
    x = 7,971.59

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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.