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Finding the Fourth Proportional to 11,880.34, 16,366.32 and 9,991.96

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Solution

The fourth proportional to 11,880.34, 16,366.32 and 9,991.96 is: 13,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880.34 : 16,366.32 = 9,991.96 : x
  2. Step 2: Convert to fraction form
    11,880.34/16,366.32 = 9,991.96/x
  3. Step 3: Cross multiply
    11,880.34x = 16,366.32 × 9,991.96
  4. Step 4: Simplify right side
    11,880.34x = 163,531,573.87
  5. Step 5: Solve for x
    x = 163,531,573.87/11,880.34
  6. Step 6: Final answer
    x = 13,764.89

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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.