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Finding the Fourth Proportional to 7,723.50, 10,663.02 and 5,857.26

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Solution

The fourth proportional to 7,723.50, 10,663.02 and 5,857.26 is: 8,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.50 : 10,663.02 = 5,857.26 : x
  2. Step 2: Convert to fraction form
    7,723.50/10,663.02 = 5,857.26/x
  3. Step 3: Cross multiply
    7,723.50x = 10,663.02 × 5,857.26
  4. Step 4: Simplify right side
    7,723.50x = 62,456,080.53
  5. Step 5: Solve for x
    x = 62,456,080.53/7,723.50
  6. Step 6: Final answer
    x = 8,086.50

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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.