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Finding the Fourth Proportional to 11,901.87, 17,851.37 and 3,137.45

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Solution

The fourth proportional to 11,901.87, 17,851.37 and 3,137.45 is: 4,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.87 : 17,851.37 = 3,137.45 : x
  2. Step 2: Convert to fraction form
    11,901.87/17,851.37 = 3,137.45/x
  3. Step 3: Cross multiply
    11,901.87x = 17,851.37 × 3,137.45
  4. Step 4: Simplify right side
    11,901.87x = 56,007,675.86
  5. Step 5: Solve for x
    x = 56,007,675.86/11,901.87
  6. Step 6: Final answer
    x = 4,705.79

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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.