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Finding the Fourth Proportional to 6,163.74, 8,504.10 and 3,646.14

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Solution

The fourth proportional to 6,163.74, 8,504.10 and 3,646.14 is: 5,030.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.74 : 8,504.10 = 3,646.14 : x
  2. Step 2: Convert to fraction form
    6,163.74/8,504.10 = 3,646.14/x
  3. Step 3: Cross multiply
    6,163.74x = 8,504.10 × 3,646.14
  4. Step 4: Simplify right side
    6,163.74x = 31,007,139.17
  5. Step 5: Solve for x
    x = 31,007,139.17/6,163.74
  6. Step 6: Final answer
    x = 5,030.57

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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.