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Finding the Fourth Proportional to 11,178.99, 16,749.09 and 6,787.17

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Solution

The fourth proportional to 11,178.99, 16,749.09 and 6,787.17 is: 10,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.99 : 16,749.09 = 6,787.17 : x
  2. Step 2: Convert to fraction form
    11,178.99/16,749.09 = 6,787.17/x
  3. Step 3: Cross multiply
    11,178.99x = 16,749.09 × 6,787.17
  4. Step 4: Simplify right side
    11,178.99x = 113,678,921.18
  5. Step 5: Solve for x
    x = 113,678,921.18/11,178.99
  6. Step 6: Final answer
    x = 10,168.98

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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.