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Finding the Fourth Proportional to 7,441.76, 11,150.31 and 3,736.16

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Solution

The fourth proportional to 7,441.76, 11,150.31 and 3,736.16 is: 5,598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.76 : 11,150.31 = 3,736.16 : x
  2. Step 2: Convert to fraction form
    7,441.76/11,150.31 = 3,736.16/x
  3. Step 3: Cross multiply
    7,441.76x = 11,150.31 × 3,736.16
  4. Step 4: Simplify right side
    7,441.76x = 41,659,286.46
  5. Step 5: Solve for x
    x = 41,659,286.46/7,441.76
  6. Step 6: Final answer
    x = 5,598.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.