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Finding the Fourth Proportional to 10,706.35, 16,057.08 and 4,468.54

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Solution

The fourth proportional to 10,706.35, 16,057.08 and 4,468.54 is: 6,701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.35 : 16,057.08 = 4,468.54 : x
  2. Step 2: Convert to fraction form
    10,706.35/16,057.08 = 4,468.54/x
  3. Step 3: Cross multiply
    10,706.35x = 16,057.08 × 4,468.54
  4. Step 4: Simplify right side
    10,706.35x = 71,751,704.26
  5. Step 5: Solve for x
    x = 71,751,704.26/10,706.35
  6. Step 6: Final answer
    x = 6,701.79

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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.