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Finding the Fourth Proportional to 11,751.45, 16,218.34 and 6,446.76

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Solution

The fourth proportional to 11,751.45, 16,218.34 and 6,446.76 is: 8,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.45 : 16,218.34 = 6,446.76 : x
  2. Step 2: Convert to fraction form
    11,751.45/16,218.34 = 6,446.76/x
  3. Step 3: Cross multiply
    11,751.45x = 16,218.34 × 6,446.76
  4. Step 4: Simplify right side
    11,751.45x = 104,555,729.46
  5. Step 5: Solve for x
    x = 104,555,729.46/11,751.45
  6. Step 6: Final answer
    x = 8,897.26

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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.