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Finding the Fourth Proportional to 6,197.72, 8,555.10 and 4,102.52

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Solution

The fourth proportional to 6,197.72, 8,555.10 and 4,102.52 is: 5,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.72 : 8,555.10 = 4,102.52 : x
  2. Step 2: Convert to fraction form
    6,197.72/8,555.10 = 4,102.52/x
  3. Step 3: Cross multiply
    6,197.72x = 8,555.10 × 4,102.52
  4. Step 4: Simplify right side
    6,197.72x = 35,097,468.85
  5. Step 5: Solve for x
    x = 35,097,468.85/6,197.72
  6. Step 6: Final answer
    x = 5,662.96

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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.