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Finding the Fourth Proportional to 6,857.97, 10,290.22 and 4,752.84

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Solution

The fourth proportional to 6,857.97, 10,290.22 and 4,752.84 is: 7,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.97 : 10,290.22 = 4,752.84 : x
  2. Step 2: Convert to fraction form
    6,857.97/10,290.22 = 4,752.84/x
  3. Step 3: Cross multiply
    6,857.97x = 10,290.22 × 4,752.84
  4. Step 4: Simplify right side
    6,857.97x = 48,907,795.93
  5. Step 5: Solve for x
    x = 48,907,795.93/6,857.97
  6. Step 6: Final answer
    x = 7,131.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.