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Finding the Fourth Proportional to 5,999.10, 8,282.25 and 4,012.98

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Solution

The fourth proportional to 5,999.10, 8,282.25 and 4,012.98 is: 5,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,999.10 : 8,282.25 = 4,012.98 : x
  2. Step 2: Convert to fraction form
    5,999.10/8,282.25 = 4,012.98/x
  3. Step 3: Cross multiply
    5,999.10x = 8,282.25 × 4,012.98
  4. Step 4: Simplify right side
    5,999.10x = 33,236,503.61
  5. Step 5: Solve for x
    x = 33,236,503.61/5,999.10
  6. Step 6: Final answer
    x = 5,540.25

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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.