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Finding the Fourth Proportional to 11,302.50, 16,942.50 and 5,455.92

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Solution

The fourth proportional to 11,302.50, 16,942.50 and 5,455.92 is: 8,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.50 : 16,942.50 = 5,455.92 : x
  2. Step 2: Convert to fraction form
    11,302.50/16,942.50 = 5,455.92/x
  3. Step 3: Cross multiply
    11,302.50x = 16,942.50 × 5,455.92
  4. Step 4: Simplify right side
    11,302.50x = 92,436,924.60
  5. Step 5: Solve for x
    x = 92,436,924.60/11,302.50
  6. Step 6: Final answer
    x = 8,178.45

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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.