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Finding the Fourth Proportional to 11,954.46, 16,490.70 and 7,480.66

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Solution

The fourth proportional to 11,954.46, 16,490.70 and 7,480.66 is: 10,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.46 : 16,490.70 = 7,480.66 : x
  2. Step 2: Convert to fraction form
    11,954.46/16,490.70 = 7,480.66/x
  3. Step 3: Cross multiply
    11,954.46x = 16,490.70 × 7,480.66
  4. Step 4: Simplify right side
    11,954.46x = 123,361,319.86
  5. Step 5: Solve for x
    x = 123,361,319.86/11,954.46
  6. Step 6: Final answer
    x = 10,319.27

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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.