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Finding the Fourth Proportional to 7,851.33, 10,824.30 and 6,727.41

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Solution

The fourth proportional to 7,851.33, 10,824.30 and 6,727.41 is: 9,274.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.33 : 10,824.30 = 6,727.41 : x
  2. Step 2: Convert to fraction form
    7,851.33/10,824.30 = 6,727.41/x
  3. Step 3: Cross multiply
    7,851.33x = 10,824.30 × 6,727.41
  4. Step 4: Simplify right side
    7,851.33x = 72,819,504.06
  5. Step 5: Solve for x
    x = 72,819,504.06/7,851.33
  6. Step 6: Final answer
    x = 9,274.80

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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.