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Finding the Fourth Proportional to 11,138.68, 16,706.40 and 4,211.56

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Solution

The fourth proportional to 11,138.68, 16,706.40 and 4,211.56 is: 6,316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.68 : 16,706.40 = 4,211.56 : x
  2. Step 2: Convert to fraction form
    11,138.68/16,706.40 = 4,211.56/x
  3. Step 3: Cross multiply
    11,138.68x = 16,706.40 × 4,211.56
  4. Step 4: Simplify right side
    11,138.68x = 70,360,005.98
  5. Step 5: Solve for x
    x = 70,360,005.98/11,138.68
  6. Step 6: Final answer
    x = 6,316.73

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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.