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Finding the Fourth Proportional to 11,617.02, 17,419.86 and 5,776.92

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Solution

The fourth proportional to 11,617.02, 17,419.86 and 5,776.92 is: 8,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.02 : 17,419.86 = 5,776.92 : x
  2. Step 2: Convert to fraction form
    11,617.02/17,419.86 = 5,776.92/x
  3. Step 3: Cross multiply
    11,617.02x = 17,419.86 × 5,776.92
  4. Step 4: Simplify right side
    11,617.02x = 100,633,137.63
  5. Step 5: Solve for x
    x = 100,633,137.63/11,617.02
  6. Step 6: Final answer
    x = 8,662.56

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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.