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Finding the Fourth Proportional to 11,778.27, 16,254.30 and 6,473.44

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Solution

The fourth proportional to 11,778.27, 16,254.30 and 6,473.44 is: 8,933.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.27 : 16,254.30 = 6,473.44 : x
  2. Step 2: Convert to fraction form
    11,778.27/16,254.30 = 6,473.44/x
  3. Step 3: Cross multiply
    11,778.27x = 16,254.30 × 6,473.44
  4. Step 4: Simplify right side
    11,778.27x = 105,221,235.79
  5. Step 5: Solve for x
    x = 105,221,235.79/11,778.27
  6. Step 6: Final answer
    x = 8,933.51

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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.