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Finding the Fourth Proportional to 11,778.86, 16,254.83 and 6,473.99

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Solution

The fourth proportional to 11,778.86, 16,254.83 and 6,473.99 is: 8,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.86 : 16,254.83 = 6,473.99 : x
  2. Step 2: Convert to fraction form
    11,778.86/16,254.83 = 6,473.99/x
  3. Step 3: Cross multiply
    11,778.86x = 16,254.83 × 6,473.99
  4. Step 4: Simplify right side
    11,778.86x = 105,233,606.87
  5. Step 5: Solve for x
    x = 105,233,606.87/11,778.86
  6. Step 6: Final answer
    x = 8,934.11

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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.