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Finding the Fourth Proportional to 8,263.00, 11,399.69 and 4,724.31

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Solution

The fourth proportional to 8,263.00, 11,399.69 and 4,724.31 is: 6,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.00 : 11,399.69 = 4,724.31 : x
  2. Step 2: Convert to fraction form
    8,263.00/11,399.69 = 4,724.31/x
  3. Step 3: Cross multiply
    8,263.00x = 11,399.69 × 4,724.31
  4. Step 4: Simplify right side
    8,263.00x = 53,855,681.27
  5. Step 5: Solve for x
    x = 53,855,681.27/8,263.00
  6. Step 6: Final answer
    x = 6,517.69

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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.