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Finding the Fourth Proportional to 10,930.86, 16,381.22 and 4,993.29

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Solution

The fourth proportional to 10,930.86, 16,381.22 and 4,993.29 is: 7,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.86 : 16,381.22 = 4,993.29 : x
  2. Step 2: Convert to fraction form
    10,930.86/16,381.22 = 4,993.29/x
  3. Step 3: Cross multiply
    10,930.86x = 16,381.22 × 4,993.29
  4. Step 4: Simplify right side
    10,930.86x = 81,796,157.05
  5. Step 5: Solve for x
    x = 81,796,157.05/10,930.86
  6. Step 6: Final answer
    x = 7,483.05

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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.