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Finding the Fourth Proportional to 6,838.37, 10,257.55 and 5,280.65

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Solution

The fourth proportional to 6,838.37, 10,257.55 and 5,280.65 is: 7,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.37 : 10,257.55 = 5,280.65 : x
  2. Step 2: Convert to fraction form
    6,838.37/10,257.55 = 5,280.65/x
  3. Step 3: Cross multiply
    6,838.37x = 10,257.55 × 5,280.65
  4. Step 4: Simplify right side
    6,838.37x = 54,166,531.41
  5. Step 5: Solve for x
    x = 54,166,531.41/6,838.37
  6. Step 6: Final answer
    x = 7,920.97

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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.