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Finding the Fourth Proportional to 11,257.56, 16,883.25 and 4,237.08

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Solution

The fourth proportional to 11,257.56, 16,883.25 and 4,237.08 is: 6,354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.56 : 16,883.25 = 4,237.08 : x
  2. Step 2: Convert to fraction form
    11,257.56/16,883.25 = 4,237.08/x
  3. Step 3: Cross multiply
    11,257.56x = 16,883.25 × 4,237.08
  4. Step 4: Simplify right side
    11,257.56x = 71,535,680.91
  5. Step 5: Solve for x
    x = 71,535,680.91/11,257.56
  6. Step 6: Final answer
    x = 6,354.46

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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.