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Finding the Fourth Proportional to 8,651.42, 11,939.09 and 5,114.96

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Solution

The fourth proportional to 8,651.42, 11,939.09 and 5,114.96 is: 7,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,651.42 : 11,939.09 = 5,114.96 : x
  2. Step 2: Convert to fraction form
    8,651.42/11,939.09 = 5,114.96/x
  3. Step 3: Cross multiply
    8,651.42x = 11,939.09 × 5,114.96
  4. Step 4: Simplify right side
    8,651.42x = 61,067,967.79
  5. Step 5: Solve for x
    x = 61,067,967.79/8,651.42
  6. Step 6: Final answer
    x = 7,058.72

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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.