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Finding the Fourth Proportional to 10,857.87, 16,255.11 and 6,685.36

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Solution

The fourth proportional to 10,857.87, 16,255.11 and 6,685.36 is: 10,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.87 : 16,255.11 = 6,685.36 : x
  2. Step 2: Convert to fraction form
    10,857.87/16,255.11 = 6,685.36/x
  3. Step 3: Cross multiply
    10,857.87x = 16,255.11 × 6,685.36
  4. Step 4: Simplify right side
    10,857.87x = 108,671,221.55
  5. Step 5: Solve for x
    x = 108,671,221.55/10,857.87
  6. Step 6: Final answer
    x = 10,008.52

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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.