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Finding the Fourth Proportional to 11,918.23, 16,450.93 and 8,391.76

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Solution

The fourth proportional to 11,918.23, 16,450.93 and 8,391.76 is: 11,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.23 : 16,450.93 = 8,391.76 : x
  2. Step 2: Convert to fraction form
    11,918.23/16,450.93 = 8,391.76/x
  3. Step 3: Cross multiply
    11,918.23x = 16,450.93 × 8,391.76
  4. Step 4: Simplify right side
    11,918.23x = 138,052,225.70
  5. Step 5: Solve for x
    x = 138,052,225.70/11,918.23
  6. Step 6: Final answer
    x = 11,583.28

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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.