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Finding the Fourth Proportional to 10,433.42, 15,650.13 and 2,642.22

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Solution

The fourth proportional to 10,433.42, 15,650.13 and 2,642.22 is: 3,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.42 : 15,650.13 = 2,642.22 : x
  2. Step 2: Convert to fraction form
    10,433.42/15,650.13 = 2,642.22/x
  3. Step 3: Cross multiply
    10,433.42x = 15,650.13 × 2,642.22
  4. Step 4: Simplify right side
    10,433.42x = 41,351,086.49
  5. Step 5: Solve for x
    x = 41,351,086.49/10,433.42
  6. Step 6: Final answer
    x = 3,963.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.