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Finding the Fourth Proportional to 11,379.96, 15,679.98 and 7,647.48

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Solution

The fourth proportional to 11,379.96, 15,679.98 and 7,647.48 is: 10,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379.96 : 15,679.98 = 7,647.48 : x
  2. Step 2: Convert to fraction form
    11,379.96/15,679.98 = 7,647.48/x
  3. Step 3: Cross multiply
    11,379.96x = 15,679.98 × 7,647.48
  4. Step 4: Simplify right side
    11,379.96x = 119,912,333.45
  5. Step 5: Solve for x
    x = 119,912,333.45/11,379.96
  6. Step 6: Final answer
    x = 10,537.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.