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Finding the Fourth Proportional to 11,794.64, 16,299.92 and 9,666.77

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Solution

The fourth proportional to 11,794.64, 16,299.92 and 9,666.77 is: 13,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.64 : 16,299.92 = 9,666.77 : x
  2. Step 2: Convert to fraction form
    11,794.64/16,299.92 = 9,666.77/x
  3. Step 3: Cross multiply
    11,794.64x = 16,299.92 × 9,666.77
  4. Step 4: Simplify right side
    11,794.64x = 157,567,529.32
  5. Step 5: Solve for x
    x = 157,567,529.32/11,794.64
  6. Step 6: Final answer
    x = 13,359.25

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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.