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Finding the Fourth Proportional to 11,778.94, 16,255.17 and 6,473.98

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Solution

The fourth proportional to 11,778.94, 16,255.17 and 6,473.98 is: 8,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.94 : 16,255.17 = 6,473.98 : x
  2. Step 2: Convert to fraction form
    11,778.94/16,255.17 = 6,473.98/x
  3. Step 3: Cross multiply
    11,778.94x = 16,255.17 × 6,473.98
  4. Step 4: Simplify right side
    11,778.94x = 105,235,645.48
  5. Step 5: Solve for x
    x = 105,235,645.48/11,778.94
  6. Step 6: Final answer
    x = 8,934.22

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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.