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Finding the Fourth Proportional to 6,141.12, 8,474.31 and 3,783.30

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Solution

The fourth proportional to 6,141.12, 8,474.31 and 3,783.30 is: 5,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.12 : 8,474.31 = 3,783.30 : x
  2. Step 2: Convert to fraction form
    6,141.12/8,474.31 = 3,783.30/x
  3. Step 3: Cross multiply
    6,141.12x = 8,474.31 × 3,783.30
  4. Step 4: Simplify right side
    6,141.12x = 32,060,857.02
  5. Step 5: Solve for x
    x = 32,060,857.02/6,141.12
  6. Step 6: Final answer
    x = 5,220.69

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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.