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Finding the Fourth Proportional to 11,647.80, 17,474.33 and 4,252.30

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Solution

The fourth proportional to 11,647.80, 17,474.33 and 4,252.30 is: 6,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.80 : 17,474.33 = 4,252.30 : x
  2. Step 2: Convert to fraction form
    11,647.80/17,474.33 = 4,252.30/x
  3. Step 3: Cross multiply
    11,647.80x = 17,474.33 × 4,252.30
  4. Step 4: Simplify right side
    11,647.80x = 74,306,060.40
  5. Step 5: Solve for x
    x = 74,306,060.40/11,647.80
  6. Step 6: Final answer
    x = 6,379.41

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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.