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Finding the Fourth Proportional to 11,558.25, 17,335.07 and 3,659.42

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Solution

The fourth proportional to 11,558.25, 17,335.07 and 3,659.42 is: 5,488.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.25 : 17,335.07 = 3,659.42 : x
  2. Step 2: Convert to fraction form
    11,558.25/17,335.07 = 3,659.42/x
  3. Step 3: Cross multiply
    11,558.25x = 17,335.07 × 3,659.42
  4. Step 4: Simplify right side
    11,558.25x = 63,436,215.18
  5. Step 5: Solve for x
    x = 63,436,215.18/11,558.25
  6. Step 6: Final answer
    x = 5,488.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.