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Finding the Fourth Proportional to 6,362.26, 8,782.30 and 3,710.50

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Solution

The fourth proportional to 6,362.26, 8,782.30 and 3,710.50 is: 5,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.26 : 8,782.30 = 3,710.50 : x
  2. Step 2: Convert to fraction form
    6,362.26/8,782.30 = 3,710.50/x
  3. Step 3: Cross multiply
    6,362.26x = 8,782.30 × 3,710.50
  4. Step 4: Simplify right side
    6,362.26x = 32,586,724.15
  5. Step 5: Solve for x
    x = 32,586,724.15/6,362.26
  6. Step 6: Final answer
    x = 5,121.88

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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.