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Finding the Fourth Proportional to 7,064.62, 10,596.83 and 2,134.35

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Solution

The fourth proportional to 7,064.62, 10,596.83 and 2,134.35 is: 3,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.62 : 10,596.83 = 2,134.35 : x
  2. Step 2: Convert to fraction form
    7,064.62/10,596.83 = 2,134.35/x
  3. Step 3: Cross multiply
    7,064.62x = 10,596.83 × 2,134.35
  4. Step 4: Simplify right side
    7,064.62x = 22,617,333.44
  5. Step 5: Solve for x
    x = 22,617,333.44/7,064.62
  6. Step 6: Final answer
    x = 3,201.49

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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.