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Finding the Fourth Proportional to 7,530.57, 11,363.29 and 7,227.12

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Solution

The fourth proportional to 7,530.57, 11,363.29 and 7,227.12 is: 10,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.57 : 11,363.29 = 7,227.12 : x
  2. Step 2: Convert to fraction form
    7,530.57/11,363.29 = 7,227.12/x
  3. Step 3: Cross multiply
    7,530.57x = 11,363.29 × 7,227.12
  4. Step 4: Simplify right side
    7,530.57x = 82,123,884.97
  5. Step 5: Solve for x
    x = 82,123,884.97/7,530.57
  6. Step 6: Final answer
    x = 10,905.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.