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Finding the Fourth Proportional to 7,421.82, 10,245.84 and 5,739.42

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Solution

The fourth proportional to 7,421.82, 10,245.84 and 5,739.42 is: 7,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.82 : 10,245.84 = 5,739.42 : x
  2. Step 2: Convert to fraction form
    7,421.82/10,245.84 = 5,739.42/x
  3. Step 3: Cross multiply
    7,421.82x = 10,245.84 × 5,739.42
  4. Step 4: Simplify right side
    7,421.82x = 58,805,179.01
  5. Step 5: Solve for x
    x = 58,805,179.01/7,421.82
  6. Step 6: Final answer
    x = 7,923.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.