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Finding the Fourth Proportional to 11,415.72, 15,754.42 and 6,379.96

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Solution

The fourth proportional to 11,415.72, 15,754.42 and 6,379.96 is: 8,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.72 : 15,754.42 = 6,379.96 : x
  2. Step 2: Convert to fraction form
    11,415.72/15,754.42 = 6,379.96/x
  3. Step 3: Cross multiply
    11,415.72x = 15,754.42 × 6,379.96
  4. Step 4: Simplify right side
    11,415.72x = 100,512,569.42
  5. Step 5: Solve for x
    x = 100,512,569.42/11,415.72
  6. Step 6: Final answer
    x = 8,804.75

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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.