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Finding the Fourth Proportional to 6,100.98, 8,416.85 and 4,112.18

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Solution

The fourth proportional to 6,100.98, 8,416.85 and 4,112.18 is: 5,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.98 : 8,416.85 = 4,112.18 : x
  2. Step 2: Convert to fraction form
    6,100.98/8,416.85 = 4,112.18/x
  3. Step 3: Cross multiply
    6,100.98x = 8,416.85 × 4,112.18
  4. Step 4: Simplify right side
    6,100.98x = 34,611,570.43
  5. Step 5: Solve for x
    x = 34,611,570.43/6,100.98
  6. Step 6: Final answer
    x = 5,673.12

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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.