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Finding the Fourth Proportional to 10,942.35, 16,410.18 and 7,193.97

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Solution

The fourth proportional to 10,942.35, 16,410.18 and 7,193.97 is: 10,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.35 : 16,410.18 = 7,193.97 : x
  2. Step 2: Convert to fraction form
    10,942.35/16,410.18 = 7,193.97/x
  3. Step 3: Cross multiply
    10,942.35x = 16,410.18 × 7,193.97
  4. Step 4: Simplify right side
    10,942.35x = 118,054,342.61
  5. Step 5: Solve for x
    x = 118,054,342.61/10,942.35
  6. Step 6: Final answer
    x = 10,788.76

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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.