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Finding the Fourth Proportional to 11,857.68, 16,362.90 and 7,381.26

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Solution

The fourth proportional to 11,857.68, 16,362.90 and 7,381.26 is: 10,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.68 : 16,362.90 = 7,381.26 : x
  2. Step 2: Convert to fraction form
    11,857.68/16,362.90 = 7,381.26/x
  3. Step 3: Cross multiply
    11,857.68x = 16,362.90 × 7,381.26
  4. Step 4: Simplify right side
    11,857.68x = 120,778,819.25
  5. Step 5: Solve for x
    x = 120,778,819.25/11,857.68
  6. Step 6: Final answer
    x = 10,185.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.