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Finding the Fourth Proportional to 8,171.71, 12,259.69 and 2,328.77

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Solution

The fourth proportional to 8,171.71, 12,259.69 and 2,328.77 is: 3,493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.71 : 12,259.69 = 2,328.77 : x
  2. Step 2: Convert to fraction form
    8,171.71/12,259.69 = 2,328.77/x
  3. Step 3: Cross multiply
    8,171.71x = 12,259.69 × 2,328.77
  4. Step 4: Simplify right side
    8,171.71x = 28,550,023.11
  5. Step 5: Solve for x
    x = 28,550,023.11/8,171.71
  6. Step 6: Final answer
    x = 3,493.76

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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.