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Finding the Fourth Proportional to 6,206.13, 8,571.77 and 4,106.61

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Solution

The fourth proportional to 6,206.13, 8,571.77 and 4,106.61 is: 5,671.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.13 : 8,571.77 = 4,106.61 : x
  2. Step 2: Convert to fraction form
    6,206.13/8,571.77 = 4,106.61/x
  3. Step 3: Cross multiply
    6,206.13x = 8,571.77 × 4,106.61
  4. Step 4: Simplify right side
    6,206.13x = 35,200,916.40
  5. Step 5: Solve for x
    x = 35,200,916.40/6,206.13
  6. Step 6: Final answer
    x = 5,671.96

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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.