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Finding the Fourth Proportional to 11,861.62, 16,366.71 and 7,146.16

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Solution

The fourth proportional to 11,861.62, 16,366.71 and 7,146.16 is: 9,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.62 : 16,366.71 = 7,146.16 : x
  2. Step 2: Convert to fraction form
    11,861.62/16,366.71 = 7,146.16/x
  3. Step 3: Cross multiply
    11,861.62x = 16,366.71 × 7,146.16
  4. Step 4: Simplify right side
    11,861.62x = 116,959,128.33
  5. Step 5: Solve for x
    x = 116,959,128.33/11,861.62
  6. Step 6: Final answer
    x = 9,860.30

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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.