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Finding the Fourth Proportional to 11,923.39, 16,454.71 and 7,204.94

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Solution

The fourth proportional to 11,923.39, 16,454.71 and 7,204.94 is: 9,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.39 : 16,454.71 = 7,204.94 : x
  2. Step 2: Convert to fraction form
    11,923.39/16,454.71 = 7,204.94/x
  3. Step 3: Cross multiply
    11,923.39x = 16,454.71 × 7,204.94
  4. Step 4: Simplify right side
    11,923.39x = 118,555,198.27
  5. Step 5: Solve for x
    x = 118,555,198.27/11,923.39
  6. Step 6: Final answer
    x = 9,943.08

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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.