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Finding the Fourth Proportional to 6,842.97, 10,261.72 and 2,896.04

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Solution

The fourth proportional to 6,842.97, 10,261.72 and 2,896.04 is: 4,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.97 : 10,261.72 = 2,896.04 : x
  2. Step 2: Convert to fraction form
    6,842.97/10,261.72 = 2,896.04/x
  3. Step 3: Cross multiply
    6,842.97x = 10,261.72 × 2,896.04
  4. Step 4: Simplify right side
    6,842.97x = 29,718,337.11
  5. Step 5: Solve for x
    x = 29,718,337.11/6,842.97
  6. Step 6: Final answer
    x = 4,342.90

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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.