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Finding the Fourth Proportional to 7,206, 10,791.59 and 3,499.08

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Solution

The fourth proportional to 7,206, 10,791.59 and 3,499.08 is: 5,240.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206 : 10,791.59 = 3,499.08 : x
  2. Step 2: Convert to fraction form
    7,206/10,791.59 = 3,499.08/x
  3. Step 3: Cross multiply
    7,206x = 10,791.59 × 3,499.08
  4. Step 4: Simplify right side
    7,206x = 37,760,619.24
  5. Step 5: Solve for x
    x = 37,760,619.24/7,206
  6. Step 6: Final answer
    x = 5,240.16

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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.