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Finding the Fourth Proportional to 7,577.96, 11,369.82 and 2,648.09

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Solution

The fourth proportional to 7,577.96, 11,369.82 and 2,648.09 is: 3,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.96 : 11,369.82 = 2,648.09 : x
  2. Step 2: Convert to fraction form
    7,577.96/11,369.82 = 2,648.09/x
  3. Step 3: Cross multiply
    7,577.96x = 11,369.82 × 2,648.09
  4. Step 4: Simplify right side
    7,577.96x = 30,108,249.79
  5. Step 5: Solve for x
    x = 30,108,249.79/7,577.96
  6. Step 6: Final answer
    x = 3,973.14

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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.