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Finding the Fourth Proportional to 10,694.66, 16,044 and 4,120.28

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Solution

The fourth proportional to 10,694.66, 16,044 and 4,120.28 is: 6,181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.66 : 16,044 = 4,120.28 : x
  2. Step 2: Convert to fraction form
    10,694.66/16,044 = 4,120.28/x
  3. Step 3: Cross multiply
    10,694.66x = 16,044 × 4,120.28
  4. Step 4: Simplify right side
    10,694.66x = 66,105,772.32
  5. Step 5: Solve for x
    x = 66,105,772.32/10,694.66
  6. Step 6: Final answer
    x = 6,181.19

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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.