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Finding the Fourth Proportional to 11,664.86, 16,097.49 and 6,359.67

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Solution

The fourth proportional to 11,664.86, 16,097.49 and 6,359.67 is: 8,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.86 : 16,097.49 = 6,359.67 : x
  2. Step 2: Convert to fraction form
    11,664.86/16,097.49 = 6,359.67/x
  3. Step 3: Cross multiply
    11,664.86x = 16,097.49 × 6,359.67
  4. Step 4: Simplify right side
    11,664.86x = 102,374,808.44
  5. Step 5: Solve for x
    x = 102,374,808.44/11,664.86
  6. Step 6: Final answer
    x = 8,776.34

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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.