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Finding the Fourth Proportional to 6,129.41, 8,457.11 and 3,611.62

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Solution

The fourth proportional to 6,129.41, 8,457.11 and 3,611.62 is: 4,983.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.41 : 8,457.11 = 3,611.62 : x
  2. Step 2: Convert to fraction form
    6,129.41/8,457.11 = 3,611.62/x
  3. Step 3: Cross multiply
    6,129.41x = 8,457.11 × 3,611.62
  4. Step 4: Simplify right side
    6,129.41x = 30,543,873.68
  5. Step 5: Solve for x
    x = 30,543,873.68/6,129.41
  6. Step 6: Final answer
    x = 4,983.17

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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.