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Finding the Fourth Proportional to 11,961.22, 17,941.84 and 5,719.76

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Solution

The fourth proportional to 11,961.22, 17,941.84 and 5,719.76 is: 8,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.22 : 17,941.84 = 5,719.76 : x
  2. Step 2: Convert to fraction form
    11,961.22/17,941.84 = 5,719.76/x
  3. Step 3: Cross multiply
    11,961.22x = 17,941.84 × 5,719.76
  4. Step 4: Simplify right side
    11,961.22x = 102,623,018.76
  5. Step 5: Solve for x
    x = 102,623,018.76/11,961.22
  6. Step 6: Final answer
    x = 8,579.64

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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.