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Finding the Fourth Proportional to 8,203.42, 11,323.24 and 5,550.78

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Solution

The fourth proportional to 8,203.42, 11,323.24 and 5,550.78 is: 7,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.42 : 11,323.24 = 5,550.78 : x
  2. Step 2: Convert to fraction form
    8,203.42/11,323.24 = 5,550.78/x
  3. Step 3: Cross multiply
    8,203.42x = 11,323.24 × 5,550.78
  4. Step 4: Simplify right side
    8,203.42x = 62,852,814.13
  5. Step 5: Solve for x
    x = 62,852,814.13/8,203.42
  6. Step 6: Final answer
    x = 7,661.78

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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.