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Finding the Fourth Proportional to 6,100.12, 8,411.88 and 5,218.84

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Solution

The fourth proportional to 6,100.12, 8,411.88 and 5,218.84 is: 7,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.12 : 8,411.88 = 5,218.84 : x
  2. Step 2: Convert to fraction form
    6,100.12/8,411.88 = 5,218.84/x
  3. Step 3: Cross multiply
    6,100.12x = 8,411.88 × 5,218.84
  4. Step 4: Simplify right side
    6,100.12x = 43,900,255.82
  5. Step 5: Solve for x
    x = 43,900,255.82/6,100.12
  6. Step 6: Final answer
    x = 7,196.62

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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.