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Finding the Fourth Proportional to 10,706.06, 16,060.31 and 4,469.06

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Solution

The fourth proportional to 10,706.06, 16,060.31 and 4,469.06 is: 6,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.06 : 16,060.31 = 4,469.06 : x
  2. Step 2: Convert to fraction form
    10,706.06/16,060.31 = 4,469.06/x
  3. Step 3: Cross multiply
    10,706.06x = 16,060.31 × 4,469.06
  4. Step 4: Simplify right side
    10,706.06x = 71,774,386.36
  5. Step 5: Solve for x
    x = 71,774,386.36/10,706.06
  6. Step 6: Final answer
    x = 6,704.09

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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.