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Finding the Fourth Proportional to 6,099.87, 8,424.71 and 4,106.97

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Solution

The fourth proportional to 6,099.87, 8,424.71 and 4,106.97 is: 5,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.87 : 8,424.71 = 4,106.97 : x
  2. Step 2: Convert to fraction form
    6,099.87/8,424.71 = 4,106.97/x
  3. Step 3: Cross multiply
    6,099.87x = 8,424.71 × 4,106.97
  4. Step 4: Simplify right side
    6,099.87x = 34,600,026.09
  5. Step 5: Solve for x
    x = 34,600,026.09/6,099.87
  6. Step 6: Final answer
    x = 5,672.25

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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.