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Finding the Fourth Proportional to 11,793.27, 16,274.43 and 6,415.65

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Solution

The fourth proportional to 11,793.27, 16,274.43 and 6,415.65 is: 8,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.27 : 16,274.43 = 6,415.65 : x
  2. Step 2: Convert to fraction form
    11,793.27/16,274.43 = 6,415.65/x
  3. Step 3: Cross multiply
    11,793.27x = 16,274.43 × 6,415.65
  4. Step 4: Simplify right side
    11,793.27x = 104,411,046.83
  5. Step 5: Solve for x
    x = 104,411,046.83/11,793.27
  6. Step 6: Final answer
    x = 8,853.44

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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.