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Finding the Fourth Proportional to 10,991.67, 15,156.24 and 7,960.80

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Solution

The fourth proportional to 10,991.67, 15,156.24 and 7,960.80 is: 10,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.67 : 15,156.24 = 7,960.80 : x
  2. Step 2: Convert to fraction form
    10,991.67/15,156.24 = 7,960.80/x
  3. Step 3: Cross multiply
    10,991.67x = 15,156.24 × 7,960.80
  4. Step 4: Simplify right side
    10,991.67x = 120,655,825.25
  5. Step 5: Solve for x
    x = 120,655,825.25/10,991.67
  6. Step 6: Final answer
    x = 10,977.02

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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.