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Finding the Fourth Proportional to 8,350.49, 11,525.56 and 5,206.07

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Solution

The fourth proportional to 8,350.49, 11,525.56 and 5,206.07 is: 7,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350.49 : 11,525.56 = 5,206.07 : x
  2. Step 2: Convert to fraction form
    8,350.49/11,525.56 = 5,206.07/x
  3. Step 3: Cross multiply
    8,350.49x = 11,525.56 × 5,206.07
  4. Step 4: Simplify right side
    8,350.49x = 60,002,814.52
  5. Step 5: Solve for x
    x = 60,002,814.52/8,350.49
  6. Step 6: Final answer
    x = 7,185.55

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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.