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Finding the Fourth Proportional to 6,842.52, 10,262.97 and 2,685.60

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Solution

The fourth proportional to 6,842.52, 10,262.97 and 2,685.60 is: 4,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.52 : 10,262.97 = 2,685.60 : x
  2. Step 2: Convert to fraction form
    6,842.52/10,262.97 = 2,685.60/x
  3. Step 3: Cross multiply
    6,842.52x = 10,262.97 × 2,685.60
  4. Step 4: Simplify right side
    6,842.52x = 27,562,232.23
  5. Step 5: Solve for x
    x = 27,562,232.23/6,842.52
  6. Step 6: Final answer
    x = 4,028.08

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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.