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Finding the Fourth Proportional to 6,170.24, 8,511.78 and 4,675.52

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Solution

The fourth proportional to 6,170.24, 8,511.78 and 4,675.52 is: 6,449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.24 : 8,511.78 = 4,675.52 : x
  2. Step 2: Convert to fraction form
    6,170.24/8,511.78 = 4,675.52/x
  3. Step 3: Cross multiply
    6,170.24x = 8,511.78 × 4,675.52
  4. Step 4: Simplify right side
    6,170.24x = 39,796,997.63
  5. Step 5: Solve for x
    x = 39,796,997.63/6,170.24
  6. Step 6: Final answer
    x = 6,449.83

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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.