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Finding the Fourth Proportional to 10,139.44, 13,992.49 and 5,663.22

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Solution

The fourth proportional to 10,139.44, 13,992.49 and 5,663.22 is: 7,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.44 : 13,992.49 = 5,663.22 : x
  2. Step 2: Convert to fraction form
    10,139.44/13,992.49 = 5,663.22/x
  3. Step 3: Cross multiply
    10,139.44x = 13,992.49 × 5,663.22
  4. Step 4: Simplify right side
    10,139.44x = 79,242,517.24
  5. Step 5: Solve for x
    x = 79,242,517.24/10,139.44
  6. Step 6: Final answer
    x = 7,815.28

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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.