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Finding the Fourth Proportional to 10,873.26, 16,311.06 and 3,478.86

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Solution

The fourth proportional to 10,873.26, 16,311.06 and 3,478.86 is: 5,218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.26 : 16,311.06 = 3,478.86 : x
  2. Step 2: Convert to fraction form
    10,873.26/16,311.06 = 3,478.86/x
  3. Step 3: Cross multiply
    10,873.26x = 16,311.06 × 3,478.86
  4. Step 4: Simplify right side
    10,873.26x = 56,743,894.19
  5. Step 5: Solve for x
    x = 56,743,894.19/10,873.26
  6. Step 6: Final answer
    x = 5,218.66

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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.