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Finding the Fourth Proportional to 10,138.88, 13,991.88 and 5,663

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Solution

The fourth proportional to 10,138.88, 13,991.88 and 5,663 is: 7,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.88 : 13,991.88 = 5,663 : x
  2. Step 2: Convert to fraction form
    10,138.88/13,991.88 = 5,663/x
  3. Step 3: Cross multiply
    10,138.88x = 13,991.88 × 5,663
  4. Step 4: Simplify right side
    10,138.88x = 79,236,016.44
  5. Step 5: Solve for x
    x = 79,236,016.44/10,138.88
  6. Step 6: Final answer
    x = 7,815.07

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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.