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Finding the Fourth Proportional to 11,893.24, 16,376.03 and 10,564.64

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Solution

The fourth proportional to 11,893.24, 16,376.03 and 10,564.64 is: 14,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.24 : 16,376.03 = 10,564.64 : x
  2. Step 2: Convert to fraction form
    11,893.24/16,376.03 = 10,564.64/x
  3. Step 3: Cross multiply
    11,893.24x = 16,376.03 × 10,564.64
  4. Step 4: Simplify right side
    11,893.24x = 173,006,861.58
  5. Step 5: Solve for x
    x = 173,006,861.58/11,893.24
  6. Step 6: Final answer
    x = 14,546.66

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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.