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Finding the Fourth Proportional to 27,790.79, 41,690.27 and 8,066.77

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Solution

The fourth proportional to 27,790.79, 41,690.27 and 8,066.77 is: 12,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,790.79 : 41,690.27 = 8,066.77 : x
  2. Step 2: Convert to fraction form
    27,790.79/41,690.27 = 8,066.77/x
  3. Step 3: Cross multiply
    27,790.79x = 41,690.27 × 8,066.77
  4. Step 4: Simplify right side
    27,790.79x = 336,305,735.27
  5. Step 5: Solve for x
    x = 336,305,735.27/27,790.79
  6. Step 6: Final answer
    x = 12,101.34

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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.