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Finding the Fourth Proportional to 10,706.54, 16,062.24 and 3,310.76

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Solution

The fourth proportional to 10,706.54, 16,062.24 and 3,310.76 is: 4,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.54 : 16,062.24 = 3,310.76 : x
  2. Step 2: Convert to fraction form
    10,706.54/16,062.24 = 3,310.76/x
  3. Step 3: Cross multiply
    10,706.54x = 16,062.24 × 3,310.76
  4. Step 4: Simplify right side
    10,706.54x = 53,178,221.70
  5. Step 5: Solve for x
    x = 53,178,221.70/10,706.54
  6. Step 6: Final answer
    x = 4,966.89

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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.