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Finding the Fourth Proportional to 7,299.82, 10,073.76 and 4,156

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Solution

The fourth proportional to 7,299.82, 10,073.76 and 4,156 is: 5,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.82 : 10,073.76 = 4,156 : x
  2. Step 2: Convert to fraction form
    7,299.82/10,073.76 = 4,156/x
  3. Step 3: Cross multiply
    7,299.82x = 10,073.76 × 4,156
  4. Step 4: Simplify right side
    7,299.82x = 41,866,546.56
  5. Step 5: Solve for x
    x = 41,866,546.56/7,299.82
  6. Step 6: Final answer
    x = 5,735.28

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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.