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Finding the Fourth Proportional to 11,659.18, 16,084.54 and 7,880.96

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Solution

The fourth proportional to 11,659.18, 16,084.54 and 7,880.96 is: 10,872.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.18 : 16,084.54 = 7,880.96 : x
  2. Step 2: Convert to fraction form
    11,659.18/16,084.54 = 7,880.96/x
  3. Step 3: Cross multiply
    11,659.18x = 16,084.54 × 7,880.96
  4. Step 4: Simplify right side
    11,659.18x = 126,761,616.36
  5. Step 5: Solve for x
    x = 126,761,616.36/11,659.18
  6. Step 6: Final answer
    x = 10,872.26

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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.