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Finding the Fourth Proportional to 11,751.33, 16,216.83 and 6,446.26

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Solution

The fourth proportional to 11,751.33, 16,216.83 and 6,446.26 is: 8,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.33 : 16,216.83 = 6,446.26 : x
  2. Step 2: Convert to fraction form
    11,751.33/16,216.83 = 6,446.26/x
  3. Step 3: Cross multiply
    11,751.33x = 16,216.83 × 6,446.26
  4. Step 4: Simplify right side
    11,751.33x = 104,537,895.35
  5. Step 5: Solve for x
    x = 104,537,895.35/11,751.33
  6. Step 6: Final answer
    x = 8,895.84

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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.