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Finding the Fourth Proportional to 11,206.70, 16,810.05 and 8,096.30

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Solution

The fourth proportional to 11,206.70, 16,810.05 and 8,096.30 is: 12,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.70 : 16,810.05 = 8,096.30 : x
  2. Step 2: Convert to fraction form
    11,206.70/16,810.05 = 8,096.30/x
  3. Step 3: Cross multiply
    11,206.70x = 16,810.05 × 8,096.30
  4. Step 4: Simplify right side
    11,206.70x = 136,099,207.82
  5. Step 5: Solve for x
    x = 136,099,207.82/11,206.70
  6. Step 6: Final answer
    x = 12,144.45

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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.