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Finding the Fourth Proportional to 10,512.38, 15,771.31 and 3,938.63

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Solution

The fourth proportional to 10,512.38, 15,771.31 and 3,938.63 is: 5,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.38 : 15,771.31 = 3,938.63 : x
  2. Step 2: Convert to fraction form
    10,512.38/15,771.31 = 3,938.63/x
  3. Step 3: Cross multiply
    10,512.38x = 15,771.31 × 3,938.63
  4. Step 4: Simplify right side
    10,512.38x = 62,117,266.00
  5. Step 5: Solve for x
    x = 62,117,266.00/10,512.38
  6. Step 6: Final answer
    x = 5,908.96

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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.