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Finding the Fourth Proportional to 8,223.50, 11,345.73 and 5,033.47

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Solution

The fourth proportional to 8,223.50, 11,345.73 and 5,033.47 is: 6,944.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.50 : 11,345.73 = 5,033.47 : x
  2. Step 2: Convert to fraction form
    8,223.50/11,345.73 = 5,033.47/x
  3. Step 3: Cross multiply
    8,223.50x = 11,345.73 × 5,033.47
  4. Step 4: Simplify right side
    8,223.50x = 57,108,391.58
  5. Step 5: Solve for x
    x = 57,108,391.58/8,223.50
  6. Step 6: Final answer
    x = 6,944.54

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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.