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Finding the Fourth Proportional to 10,714.52, 16,069.62 and 3,694.16

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Solution

The fourth proportional to 10,714.52, 16,069.62 and 3,694.16 is: 5,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.52 : 16,069.62 = 3,694.16 : x
  2. Step 2: Convert to fraction form
    10,714.52/16,069.62 = 3,694.16/x
  3. Step 3: Cross multiply
    10,714.52x = 16,069.62 × 3,694.16
  4. Step 4: Simplify right side
    10,714.52x = 59,363,747.42
  5. Step 5: Solve for x
    x = 59,363,747.42/10,714.52
  6. Step 6: Final answer
    x = 5,540.50

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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.