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Finding the Fourth Proportional to 6,176.08, 8,523.84 and 3,787.48

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Solution

The fourth proportional to 6,176.08, 8,523.84 and 3,787.48 is: 5,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.08 : 8,523.84 = 3,787.48 : x
  2. Step 2: Convert to fraction form
    6,176.08/8,523.84 = 3,787.48/x
  3. Step 3: Cross multiply
    6,176.08x = 8,523.84 × 3,787.48
  4. Step 4: Simplify right side
    6,176.08x = 32,283,873.52
  5. Step 5: Solve for x
    x = 32,283,873.52/6,176.08
  6. Step 6: Final answer
    x = 5,227.24

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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.