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Finding the Fourth Proportional to 10,015.90, 13,822.31 and 5,539.69

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Solution

The fourth proportional to 10,015.90, 13,822.31 and 5,539.69 is: 7,644.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.90 : 13,822.31 = 5,539.69 : x
  2. Step 2: Convert to fraction form
    10,015.90/13,822.31 = 5,539.69/x
  3. Step 3: Cross multiply
    10,015.90x = 13,822.31 × 5,539.69
  4. Step 4: Simplify right side
    10,015.90x = 76,571,285.27
  5. Step 5: Solve for x
    x = 76,571,285.27/10,015.90
  6. Step 6: Final answer
    x = 7,644.97

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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.