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Finding the Fourth Proportional to 10,138.72, 13,996.88 and 7,157.28

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Solution

The fourth proportional to 10,138.72, 13,996.88 and 7,157.28 is: 9,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.72 : 13,996.88 = 7,157.28 : x
  2. Step 2: Convert to fraction form
    10,138.72/13,996.88 = 7,157.28/x
  3. Step 3: Cross multiply
    10,138.72x = 13,996.88 × 7,157.28
  4. Step 4: Simplify right side
    10,138.72x = 100,179,589.29
  5. Step 5: Solve for x
    x = 100,179,589.29/10,138.72
  6. Step 6: Final answer
    x = 9,880.89

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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.