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Finding the Fourth Proportional to 11,859.78, 16,369.66 and 7,381

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Solution

The fourth proportional to 11,859.78, 16,369.66 and 7,381 is: 10,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.78 : 16,369.66 = 7,381 : x
  2. Step 2: Convert to fraction form
    11,859.78/16,369.66 = 7,381/x
  3. Step 3: Cross multiply
    11,859.78x = 16,369.66 × 7,381
  4. Step 4: Simplify right side
    11,859.78x = 120,824,460.46
  5. Step 5: Solve for x
    x = 120,824,460.46/11,859.78
  6. Step 6: Final answer
    x = 10,187.75

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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.