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Finding the Fourth Proportional to 6,175.86, 8,519.75 and 4,496.50

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Solution

The fourth proportional to 6,175.86, 8,519.75 and 4,496.50 is: 6,203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.86 : 8,519.75 = 4,496.50 : x
  2. Step 2: Convert to fraction form
    6,175.86/8,519.75 = 4,496.50/x
  3. Step 3: Cross multiply
    6,175.86x = 8,519.75 × 4,496.50
  4. Step 4: Simplify right side
    6,175.86x = 38,309,033.39
  5. Step 5: Solve for x
    x = 38,309,033.39/6,175.86
  6. Step 6: Final answer
    x = 6,203.03

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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.