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Finding the Fourth Proportional to 6,735.93, 10,102.68 and 2,054.82

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Solution

The fourth proportional to 6,735.93, 10,102.68 and 2,054.82 is: 3,081.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.93 : 10,102.68 = 2,054.82 : x
  2. Step 2: Convert to fraction form
    6,735.93/10,102.68 = 2,054.82/x
  3. Step 3: Cross multiply
    6,735.93x = 10,102.68 × 2,054.82
  4. Step 4: Simplify right side
    6,735.93x = 20,759,188.92
  5. Step 5: Solve for x
    x = 20,759,188.92/6,735.93
  6. Step 6: Final answer
    x = 3,081.86

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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.