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Finding the Fourth Proportional to 11,151.86, 16,728.84 and 3,146.60

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Solution

The fourth proportional to 11,151.86, 16,728.84 and 3,146.60 is: 4,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.86 : 16,728.84 = 3,146.60 : x
  2. Step 2: Convert to fraction form
    11,151.86/16,728.84 = 3,146.60/x
  3. Step 3: Cross multiply
    11,151.86x = 16,728.84 × 3,146.60
  4. Step 4: Simplify right side
    11,151.86x = 52,639,009.77
  5. Step 5: Solve for x
    x = 52,639,009.77/11,151.86
  6. Step 6: Final answer
    x = 4,720.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.