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Finding the Fourth Proportional to 10,016.26, 13,822.18 and 5,539.90

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Solution

The fourth proportional to 10,016.26, 13,822.18 and 5,539.90 is: 7,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.26 : 13,822.18 = 5,539.90 : x
  2. Step 2: Convert to fraction form
    10,016.26/13,822.18 = 5,539.90/x
  3. Step 3: Cross multiply
    10,016.26x = 13,822.18 × 5,539.90
  4. Step 4: Simplify right side
    10,016.26x = 76,573,494.98
  5. Step 5: Solve for x
    x = 76,573,494.98/10,016.26
  6. Step 6: Final answer
    x = 7,644.92

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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.