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Finding the Fourth Proportional to 11,793.14, 16,274.55 and 6,488.28

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Solution

The fourth proportional to 11,793.14, 16,274.55 and 6,488.28 is: 8,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.14 : 16,274.55 = 6,488.28 : x
  2. Step 2: Convert to fraction form
    11,793.14/16,274.55 = 6,488.28/x
  3. Step 3: Cross multiply
    11,793.14x = 16,274.55 × 6,488.28
  4. Step 4: Simplify right side
    11,793.14x = 105,593,837.27
  5. Step 5: Solve for x
    x = 105,593,837.27/11,793.14
  6. Step 6: Final answer
    x = 8,953.84

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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.