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Finding the Fourth Proportional to 11,193, 16,778.54 and 4,623.76

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Solution

The fourth proportional to 11,193, 16,778.54 and 4,623.76 is: 6,931.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193 : 16,778.54 = 4,623.76 : x
  2. Step 2: Convert to fraction form
    11,193/16,778.54 = 4,623.76/x
  3. Step 3: Cross multiply
    11,193x = 16,778.54 × 4,623.76
  4. Step 4: Simplify right side
    11,193x = 77,579,942.11
  5. Step 5: Solve for x
    x = 77,579,942.11/11,193
  6. Step 6: Final answer
    x = 6,931.11

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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.