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Finding the Fourth Proportional to 10,991.67, 16,460.78 and 5,149.95

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Solution

The fourth proportional to 10,991.67, 16,460.78 and 5,149.95 is: 7,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.67 : 16,460.78 = 5,149.95 : x
  2. Step 2: Convert to fraction form
    10,991.67/16,460.78 = 5,149.95/x
  3. Step 3: Cross multiply
    10,991.67x = 16,460.78 × 5,149.95
  4. Step 4: Simplify right side
    10,991.67x = 84,772,168.21
  5. Step 5: Solve for x
    x = 84,772,168.21/10,991.67
  6. Step 6: Final answer
    x = 7,712.40

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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.