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Finding the Fourth Proportional to 7,451.43, 10,280.01 and 4,800.38

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Solution

The fourth proportional to 7,451.43, 10,280.01 and 4,800.38 is: 6,622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.43 : 10,280.01 = 4,800.38 : x
  2. Step 2: Convert to fraction form
    7,451.43/10,280.01 = 4,800.38/x
  3. Step 3: Cross multiply
    7,451.43x = 10,280.01 × 4,800.38
  4. Step 4: Simplify right side
    7,451.43x = 49,347,921.01
  5. Step 5: Solve for x
    x = 49,347,921.01/7,451.43
  6. Step 6: Final answer
    x = 6,622.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.