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Finding the Fourth Proportional to 10,438.67, 14,404.43 and 5,962.41

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Solution

The fourth proportional to 10,438.67, 14,404.43 and 5,962.41 is: 8,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.67 : 14,404.43 = 5,962.41 : x
  2. Step 2: Convert to fraction form
    10,438.67/14,404.43 = 5,962.41/x
  3. Step 3: Cross multiply
    10,438.67x = 14,404.43 × 5,962.41
  4. Step 4: Simplify right side
    10,438.67x = 85,885,132.38
  5. Step 5: Solve for x
    x = 85,885,132.38/10,438.67
  6. Step 6: Final answer
    x = 8,227.59

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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.