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Finding the Fourth Proportional to 11,808.56, 16,295.49 and 6,503.27

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Solution

The fourth proportional to 11,808.56, 16,295.49 and 6,503.27 is: 8,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.56 : 16,295.49 = 6,503.27 : x
  2. Step 2: Convert to fraction form
    11,808.56/16,295.49 = 6,503.27/x
  3. Step 3: Cross multiply
    11,808.56x = 16,295.49 × 6,503.27
  4. Step 4: Simplify right side
    11,808.56x = 105,973,889.77
  5. Step 5: Solve for x
    x = 105,973,889.77/11,808.56
  6. Step 6: Final answer
    x = 8,974.33

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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.