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Finding the Fourth Proportional to 6,187.14, 8,538.24 and 3,392.82

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Solution

The fourth proportional to 6,187.14, 8,538.24 and 3,392.82 is: 4,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.14 : 8,538.24 = 3,392.82 : x
  2. Step 2: Convert to fraction form
    6,187.14/8,538.24 = 3,392.82/x
  3. Step 3: Cross multiply
    6,187.14x = 8,538.24 × 3,392.82
  4. Step 4: Simplify right side
    6,187.14x = 28,968,711.44
  5. Step 5: Solve for x
    x = 28,968,711.44/6,187.14
  6. Step 6: Final answer
    x = 4,682.08

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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.