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Finding the Fourth Proportional to 11,644.33, 17,455.10 and 4,622.01

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Solution

The fourth proportional to 11,644.33, 17,455.10 and 4,622.01 is: 6,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.33 : 17,455.10 = 4,622.01 : x
  2. Step 2: Convert to fraction form
    11,644.33/17,455.10 = 4,622.01/x
  3. Step 3: Cross multiply
    11,644.33x = 17,455.10 × 4,622.01
  4. Step 4: Simplify right side
    11,644.33x = 80,677,575.52
  5. Step 5: Solve for x
    x = 80,677,575.52/11,644.33
  6. Step 6: Final answer
    x = 6,928.49

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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.