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Finding the Fourth Proportional to 11,650.89, 17,477.64 and 3,859.71

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Solution

The fourth proportional to 11,650.89, 17,477.64 and 3,859.71 is: 5,790.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.89 : 17,477.64 = 3,859.71 : x
  2. Step 2: Convert to fraction form
    11,650.89/17,477.64 = 3,859.71/x
  3. Step 3: Cross multiply
    11,650.89x = 17,477.64 × 3,859.71
  4. Step 4: Simplify right side
    11,650.89x = 67,458,621.88
  5. Step 5: Solve for x
    x = 67,458,621.88/11,650.89
  6. Step 6: Final answer
    x = 5,790.00

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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.