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Finding the Fourth Proportional to 6,838.33, 10,257.54 and 2,455.83

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Solution

The fourth proportional to 6,838.33, 10,257.54 and 2,455.83 is: 3,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.33 : 10,257.54 = 2,455.83 : x
  2. Step 2: Convert to fraction form
    6,838.33/10,257.54 = 2,455.83/x
  3. Step 3: Cross multiply
    6,838.33x = 10,257.54 × 2,455.83
  4. Step 4: Simplify right side
    6,838.33x = 25,190,723.17
  5. Step 5: Solve for x
    x = 25,190,723.17/6,838.33
  6. Step 6: Final answer
    x = 3,683.75

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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.