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Finding the Fourth Proportional to 6,753.83, 10,133.76 and 4,287.98

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Solution

The fourth proportional to 6,753.83, 10,133.76 and 4,287.98 is: 6,433.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.83 : 10,133.76 = 4,287.98 : x
  2. Step 2: Convert to fraction form
    6,753.83/10,133.76 = 4,287.98/x
  3. Step 3: Cross multiply
    6,753.83x = 10,133.76 × 4,287.98
  4. Step 4: Simplify right side
    6,753.83x = 43,453,309.54
  5. Step 5: Solve for x
    x = 43,453,309.54/6,753.83
  6. Step 6: Final answer
    x = 6,433.88

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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.