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Finding the Fourth Proportional to 6,161.08, 8,503.77 and 3,509.14

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Solution

The fourth proportional to 6,161.08, 8,503.77 and 3,509.14 is: 4,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.08 : 8,503.77 = 3,509.14 : x
  2. Step 2: Convert to fraction form
    6,161.08/8,503.77 = 3,509.14/x
  3. Step 3: Cross multiply
    6,161.08x = 8,503.77 × 3,509.14
  4. Step 4: Simplify right side
    6,161.08x = 29,840,919.46
  5. Step 5: Solve for x
    x = 29,840,919.46/6,161.08
  6. Step 6: Final answer
    x = 4,843.46

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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.