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Finding the Fourth Proportional to 6,838.46, 10,257.70 and 5,280.74

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Solution

The fourth proportional to 6,838.46, 10,257.70 and 5,280.74 is: 7,921.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.46 : 10,257.70 = 5,280.74 : x
  2. Step 2: Convert to fraction form
    6,838.46/10,257.70 = 5,280.74/x
  3. Step 3: Cross multiply
    6,838.46x = 10,257.70 × 5,280.74
  4. Step 4: Simplify right side
    6,838.46x = 54,168,246.70
  5. Step 5: Solve for x
    x = 54,168,246.70/6,838.46
  6. Step 6: Final answer
    x = 7,921.12

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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.