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Finding the Fourth Proportional to 11,590.94, 17,388.83 and 3,799.14

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Solution

The fourth proportional to 11,590.94, 17,388.83 and 3,799.14 is: 5,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.94 : 17,388.83 = 3,799.14 : x
  2. Step 2: Convert to fraction form
    11,590.94/17,388.83 = 3,799.14/x
  3. Step 3: Cross multiply
    11,590.94x = 17,388.83 × 3,799.14
  4. Step 4: Simplify right side
    11,590.94x = 66,062,599.61
  5. Step 5: Solve for x
    x = 66,062,599.61/11,590.94
  6. Step 6: Final answer
    x = 5,699.50

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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.