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Finding the Fourth Proportional to 11,929, 17,900.01 and 5,773

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Solution

The fourth proportional to 11,929, 17,900.01 and 5,773 is: 8,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929 : 17,900.01 = 5,773 : x
  2. Step 2: Convert to fraction form
    11,929/17,900.01 = 5,773/x
  3. Step 3: Cross multiply
    11,929x = 17,900.01 × 5,773
  4. Step 4: Simplify right side
    11,929x = 103,336,757.73
  5. Step 5: Solve for x
    x = 103,336,757.73/11,929
  6. Step 6: Final answer
    x = 8,662.65

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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.