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Finding the Fourth Proportional to 7,250.82, 10,007.49 and 4,269.21

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Solution

The fourth proportional to 7,250.82, 10,007.49 and 4,269.21 is: 5,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.82 : 10,007.49 = 4,269.21 : x
  2. Step 2: Convert to fraction form
    7,250.82/10,007.49 = 4,269.21/x
  3. Step 3: Cross multiply
    7,250.82x = 10,007.49 × 4,269.21
  4. Step 4: Simplify right side
    7,250.82x = 42,724,076.38
  5. Step 5: Solve for x
    x = 42,724,076.38/7,250.82
  6. Step 6: Final answer
    x = 5,892.31

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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.