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Finding the Fourth Proportional to 6,115.95, 8,483.31 and 5,906.16

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Solution

The fourth proportional to 6,115.95, 8,483.31 and 5,906.16 is: 8,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.95 : 8,483.31 = 5,906.16 : x
  2. Step 2: Convert to fraction form
    6,115.95/8,483.31 = 5,906.16/x
  3. Step 3: Cross multiply
    6,115.95x = 8,483.31 × 5,906.16
  4. Step 4: Simplify right side
    6,115.95x = 50,103,786.19
  5. Step 5: Solve for x
    x = 50,103,786.19/6,115.95
  6. Step 6: Final answer
    x = 8,192.31

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.