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Finding the Fourth Proportional to 7,424.25, 10,245.13 and 4,441.73

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Solution

The fourth proportional to 7,424.25, 10,245.13 and 4,441.73 is: 6,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.25 : 10,245.13 = 4,441.73 : x
  2. Step 2: Convert to fraction form
    7,424.25/10,245.13 = 4,441.73/x
  3. Step 3: Cross multiply
    7,424.25x = 10,245.13 × 4,441.73
  4. Step 4: Simplify right side
    7,424.25x = 45,506,101.27
  5. Step 5: Solve for x
    x = 45,506,101.27/7,424.25
  6. Step 6: Final answer
    x = 6,129.39

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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.