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Finding the Fourth Proportional to 10,091.56, 13,927.01 and 5,615.31

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Solution

The fourth proportional to 10,091.56, 13,927.01 and 5,615.31 is: 7,749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.56 : 13,927.01 = 5,615.31 : x
  2. Step 2: Convert to fraction form
    10,091.56/13,927.01 = 5,615.31/x
  3. Step 3: Cross multiply
    10,091.56x = 13,927.01 × 5,615.31
  4. Step 4: Simplify right side
    10,091.56x = 78,204,530.47
  5. Step 5: Solve for x
    x = 78,204,530.47/10,091.56
  6. Step 6: Final answer
    x = 7,749.50

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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.