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Finding the Fourth Proportional to 7,852.33, 10,825.68 and 6,728.41

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Solution

The fourth proportional to 7,852.33, 10,825.68 and 6,728.41 is: 9,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.33 : 10,825.68 = 6,728.41 : x
  2. Step 2: Convert to fraction form
    7,852.33/10,825.68 = 6,728.41/x
  3. Step 3: Cross multiply
    7,852.33x = 10,825.68 × 6,728.41
  4. Step 4: Simplify right side
    7,852.33x = 72,839,613.57
  5. Step 5: Solve for x
    x = 72,839,613.57/7,852.33
  6. Step 6: Final answer
    x = 9,276.18

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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.