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Finding the Fourth Proportional to 10,906.36, 16,352.24 and 4,330.78

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Solution

The fourth proportional to 10,906.36, 16,352.24 and 4,330.78 is: 6,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.36 : 16,352.24 = 4,330.78 : x
  2. Step 2: Convert to fraction form
    10,906.36/16,352.24 = 4,330.78/x
  3. Step 3: Cross multiply
    10,906.36x = 16,352.24 × 4,330.78
  4. Step 4: Simplify right side
    10,906.36x = 70,817,953.95
  5. Step 5: Solve for x
    x = 70,817,953.95/10,906.36
  6. Step 6: Final answer
    x = 6,493.27

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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.