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Finding the Fourth Proportional to 10,874.71, 16,315.96 and 6,709.87

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Solution

The fourth proportional to 10,874.71, 16,315.96 and 6,709.87 is: 10,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.71 : 16,315.96 = 6,709.87 : x
  2. Step 2: Convert to fraction form
    10,874.71/16,315.96 = 6,709.87/x
  3. Step 3: Cross multiply
    10,874.71x = 16,315.96 × 6,709.87
  4. Step 4: Simplify right side
    10,874.71x = 109,477,970.53
  5. Step 5: Solve for x
    x = 109,477,970.53/10,874.71
  6. Step 6: Final answer
    x = 10,067.21

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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.