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Finding the Fourth Proportional to 8,354.77, 12,527.29 and 3,161.05

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Solution

The fourth proportional to 8,354.77, 12,527.29 and 3,161.05 is: 4,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.77 : 12,527.29 = 3,161.05 : x
  2. Step 2: Convert to fraction form
    8,354.77/12,527.29 = 3,161.05/x
  3. Step 3: Cross multiply
    8,354.77x = 12,527.29 × 3,161.05
  4. Step 4: Simplify right side
    8,354.77x = 39,599,390.05
  5. Step 5: Solve for x
    x = 39,599,390.05/8,354.77
  6. Step 6: Final answer
    x = 4,739.73

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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.