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Finding the Fourth Proportional to 11,202.91, 15,458.44 and 7,420.21

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Solution

The fourth proportional to 11,202.91, 15,458.44 and 7,420.21 is: 10,238.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.91 : 15,458.44 = 7,420.21 : x
  2. Step 2: Convert to fraction form
    11,202.91/15,458.44 = 7,420.21/x
  3. Step 3: Cross multiply
    11,202.91x = 15,458.44 × 7,420.21
  4. Step 4: Simplify right side
    11,202.91x = 114,704,756.68
  5. Step 5: Solve for x
    x = 114,704,756.68/11,202.91
  6. Step 6: Final answer
    x = 10,238.84

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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.