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Finding the Fourth Proportional to 11,856.29, 17,777.12 and 5,093.82

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Solution

The fourth proportional to 11,856.29, 17,777.12 and 5,093.82 is: 7,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.29 : 17,777.12 = 5,093.82 : x
  2. Step 2: Convert to fraction form
    11,856.29/17,777.12 = 5,093.82/x
  3. Step 3: Cross multiply
    11,856.29x = 17,777.12 × 5,093.82
  4. Step 4: Simplify right side
    11,856.29x = 90,553,423.93
  5. Step 5: Solve for x
    x = 90,553,423.93/11,856.29
  6. Step 6: Final answer
    x = 7,637.59

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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.