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Finding the Fourth Proportional to 11,901.98, 17,851.42 and 3,137.58

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Solution

The fourth proportional to 11,901.98, 17,851.42 and 3,137.58 is: 4,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.98 : 17,851.42 = 3,137.58 : x
  2. Step 2: Convert to fraction form
    11,901.98/17,851.42 = 3,137.58/x
  3. Step 3: Cross multiply
    11,901.98x = 17,851.42 × 3,137.58
  4. Step 4: Simplify right side
    11,901.98x = 56,010,258.36
  5. Step 5: Solve for x
    x = 56,010,258.36/11,901.98
  6. Step 6: Final answer
    x = 4,705.96

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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.