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Finding the Fourth Proportional to 10,314.71, 14,179.58 and 8,873.81

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Solution

The fourth proportional to 10,314.71, 14,179.58 and 8,873.81 is: 12,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.71 : 14,179.58 = 8,873.81 : x
  2. Step 2: Convert to fraction form
    10,314.71/14,179.58 = 8,873.81/x
  3. Step 3: Cross multiply
    10,314.71x = 14,179.58 × 8,873.81
  4. Step 4: Simplify right side
    10,314.71x = 125,826,898.80
  5. Step 5: Solve for x
    x = 125,826,898.80/10,314.71
  6. Step 6: Final answer
    x = 12,198.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.