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Finding the Fourth Proportional to 10,139.22, 13,992.15 and 5,663.14

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Solution

The fourth proportional to 10,139.22, 13,992.15 and 5,663.14 is: 7,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.22 : 13,992.15 = 5,663.14 : x
  2. Step 2: Convert to fraction form
    10,139.22/13,992.15 = 5,663.14/x
  3. Step 3: Cross multiply
    10,139.22x = 13,992.15 × 5,663.14
  4. Step 4: Simplify right side
    10,139.22x = 79,239,504.35
  5. Step 5: Solve for x
    x = 79,239,504.35/10,139.22
  6. Step 6: Final answer
    x = 7,815.15

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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.