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Finding the Fourth Proportional to 6,782.31, 10,173.69 and 5,473.80

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Solution

The fourth proportional to 6,782.31, 10,173.69 and 5,473.80 is: 8,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.31 : 10,173.69 = 5,473.80 : x
  2. Step 2: Convert to fraction form
    6,782.31/10,173.69 = 5,473.80/x
  3. Step 3: Cross multiply
    6,782.31x = 10,173.69 × 5,473.80
  4. Step 4: Simplify right side
    6,782.31x = 55,688,744.32
  5. Step 5: Solve for x
    x = 55,688,744.32/6,782.31
  6. Step 6: Final answer
    x = 8,210.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.