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Finding the Fourth Proportional to 11,577.77, 17,356.25 and 4,180.49

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Solution

The fourth proportional to 11,577.77, 17,356.25 and 4,180.49 is: 6,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.77 : 17,356.25 = 4,180.49 : x
  2. Step 2: Convert to fraction form
    11,577.77/17,356.25 = 4,180.49/x
  3. Step 3: Cross multiply
    11,577.77x = 17,356.25 × 4,180.49
  4. Step 4: Simplify right side
    11,577.77x = 72,557,629.56
  5. Step 5: Solve for x
    x = 72,557,629.56/11,577.77
  6. Step 6: Final answer
    x = 6,266.98

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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.