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Finding the Fourth Proportional to 11,577.78, 17,363.01 and 4,181.25

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Solution

The fourth proportional to 11,577.78, 17,363.01 and 4,181.25 is: 6,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.78 : 17,363.01 = 4,181.25 : x
  2. Step 2: Convert to fraction form
    11,577.78/17,363.01 = 4,181.25/x
  3. Step 3: Cross multiply
    11,577.78x = 17,363.01 × 4,181.25
  4. Step 4: Simplify right side
    11,577.78x = 72,599,085.56
  5. Step 5: Solve for x
    x = 72,599,085.56/11,577.78
  6. Step 6: Final answer
    x = 6,270.55

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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.