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Finding the Fourth Proportional to 11,644.94, 17,449.17 and 4,621.16

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Solution

The fourth proportional to 11,644.94, 17,449.17 and 4,621.16 is: 6,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.94 : 17,449.17 = 4,621.16 : x
  2. Step 2: Convert to fraction form
    11,644.94/17,449.17 = 4,621.16/x
  3. Step 3: Cross multiply
    11,644.94x = 17,449.17 × 4,621.16
  4. Step 4: Simplify right side
    11,644.94x = 80,635,319.19
  5. Step 5: Solve for x
    x = 80,635,319.19/11,644.94
  6. Step 6: Final answer
    x = 6,924.50

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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.