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Finding the Fourth Proportional to 11,856.98, 17,785.31 and 3,537.05

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Solution

The fourth proportional to 11,856.98, 17,785.31 and 3,537.05 is: 5,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.98 : 17,785.31 = 3,537.05 : x
  2. Step 2: Convert to fraction form
    11,856.98/17,785.31 = 3,537.05/x
  3. Step 3: Cross multiply
    11,856.98x = 17,785.31 × 3,537.05
  4. Step 4: Simplify right side
    11,856.98x = 62,907,424.12
  5. Step 5: Solve for x
    x = 62,907,424.12/11,856.98
  6. Step 6: Final answer
    x = 5,305.52

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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.