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Finding the Fourth Proportional to 11,922.93, 16,453.80 and 6,617.61

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Solution

The fourth proportional to 11,922.93, 16,453.80 and 6,617.61 is: 9,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.93 : 16,453.80 = 6,617.61 : x
  2. Step 2: Convert to fraction form
    11,922.93/16,453.80 = 6,617.61/x
  3. Step 3: Cross multiply
    11,922.93x = 16,453.80 × 6,617.61
  4. Step 4: Simplify right side
    11,922.93x = 108,884,831.42
  5. Step 5: Solve for x
    x = 108,884,831.42/11,922.93
  6. Step 6: Final answer
    x = 9,132.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.