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Finding the Fourth Proportional to 11,163.78, 16,748.22 and 4,925.56

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Solution

The fourth proportional to 11,163.78, 16,748.22 and 4,925.56 is: 7,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.78 : 16,748.22 = 4,925.56 : x
  2. Step 2: Convert to fraction form
    11,163.78/16,748.22 = 4,925.56/x
  3. Step 3: Cross multiply
    11,163.78x = 16,748.22 × 4,925.56
  4. Step 4: Simplify right side
    11,163.78x = 82,494,362.50
  5. Step 5: Solve for x
    x = 82,494,362.50/11,163.78
  6. Step 6: Final answer
    x = 7,389.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.