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Finding the Fourth Proportional to 11,578.26, 17,363.76 and 4,181.76

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Solution

The fourth proportional to 11,578.26, 17,363.76 and 4,181.76 is: 6,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.26 : 17,363.76 = 4,181.76 : x
  2. Step 2: Convert to fraction form
    11,578.26/17,363.76 = 4,181.76/x
  3. Step 3: Cross multiply
    11,578.26x = 17,363.76 × 4,181.76
  4. Step 4: Simplify right side
    11,578.26x = 72,611,077.02
  5. Step 5: Solve for x
    x = 72,611,077.02/11,578.26
  6. Step 6: Final answer
    x = 6,271.33

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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.