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Finding the Fourth Proportional to 10,706.11, 16,060.70 and 3,311.15

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Solution

The fourth proportional to 10,706.11, 16,060.70 and 3,311.15 is: 4,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.11 : 16,060.70 = 3,311.15 : x
  2. Step 2: Convert to fraction form
    10,706.11/16,060.70 = 3,311.15/x
  3. Step 3: Cross multiply
    10,706.11x = 16,060.70 × 3,311.15
  4. Step 4: Simplify right side
    10,706.11x = 53,179,314.78
  5. Step 5: Solve for x
    x = 53,179,314.78/10,706.11
  6. Step 6: Final answer
    x = 4,967.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.