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Finding the Fourth Proportional to 7,421.38, 10,241.50 and 4,109.38

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Solution

The fourth proportional to 7,421.38, 10,241.50 and 4,109.38 is: 5,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.38 : 10,241.50 = 4,109.38 : x
  2. Step 2: Convert to fraction form
    7,421.38/10,241.50 = 4,109.38/x
  3. Step 3: Cross multiply
    7,421.38x = 10,241.50 × 4,109.38
  4. Step 4: Simplify right side
    7,421.38x = 42,086,215.27
  5. Step 5: Solve for x
    x = 42,086,215.27/7,421.38
  6. Step 6: Final answer
    x = 5,670.94

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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.