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Finding the Fourth Proportional to 7,240.26, 9,991.50 and 4,096.50

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Solution

The fourth proportional to 7,240.26, 9,991.50 and 4,096.50 is: 5,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.26 : 9,991.50 = 4,096.50 : x
  2. Step 2: Convert to fraction form
    7,240.26/9,991.50 = 4,096.50/x
  3. Step 3: Cross multiply
    7,240.26x = 9,991.50 × 4,096.50
  4. Step 4: Simplify right side
    7,240.26x = 40,930,179.75
  5. Step 5: Solve for x
    x = 40,930,179.75/7,240.26
  6. Step 6: Final answer
    x = 5,653.14

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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.