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Finding the Fourth Proportional to 11,593.85, 17,386.65 and 4,196.39

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Solution

The fourth proportional to 11,593.85, 17,386.65 and 4,196.39 is: 6,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.85 : 17,386.65 = 4,196.39 : x
  2. Step 2: Convert to fraction form
    11,593.85/17,386.65 = 4,196.39/x
  3. Step 3: Cross multiply
    11,593.85x = 17,386.65 × 4,196.39
  4. Step 4: Simplify right side
    11,593.85x = 72,961,077.26
  5. Step 5: Solve for x
    x = 72,961,077.26/11,593.85
  6. Step 6: Final answer
    x = 6,293.09

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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.