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Finding the Fourth Proportional to 7,609.41, 11,415.93 and 2,415.27

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Solution

The fourth proportional to 7,609.41, 11,415.93 and 2,415.27 is: 3,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.41 : 11,415.93 = 2,415.27 : x
  2. Step 2: Convert to fraction form
    7,609.41/11,415.93 = 2,415.27/x
  3. Step 3: Cross multiply
    7,609.41x = 11,415.93 × 2,415.27
  4. Step 4: Simplify right side
    7,609.41x = 27,572,553.25
  5. Step 5: Solve for x
    x = 27,572,553.25/7,609.41
  6. Step 6: Final answer
    x = 3,623.48

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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.