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Finding the Fourth Proportional to 7,728.39, 10,667.79 and 5,208.87

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Solution

The fourth proportional to 7,728.39, 10,667.79 and 5,208.87 is: 7,190.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.39 : 10,667.79 = 5,208.87 : x
  2. Step 2: Convert to fraction form
    7,728.39/10,667.79 = 5,208.87/x
  3. Step 3: Cross multiply
    7,728.39x = 10,667.79 × 5,208.87
  4. Step 4: Simplify right side
    7,728.39x = 55,567,131.30
  5. Step 5: Solve for x
    x = 55,567,131.30/7,728.39
  6. Step 6: Final answer
    x = 7,190.00

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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.