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Finding the Fourth Proportional to 11,923.25, 16,451.64 and 6,616.94

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Solution

The fourth proportional to 11,923.25, 16,451.64 and 6,616.94 is: 9,130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.25 : 16,451.64 = 6,616.94 : x
  2. Step 2: Convert to fraction form
    11,923.25/16,451.64 = 6,616.94/x
  3. Step 3: Cross multiply
    11,923.25x = 16,451.64 × 6,616.94
  4. Step 4: Simplify right side
    11,923.25x = 108,859,432.52
  5. Step 5: Solve for x
    x = 108,859,432.52/11,923.25
  6. Step 6: Final answer
    x = 9,130.02

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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.