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Finding the Fourth Proportional to 8,696.45, 13,047.11 and 2,857.16

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Solution

The fourth proportional to 8,696.45, 13,047.11 and 2,857.16 is: 4,286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.45 : 13,047.11 = 2,857.16 : x
  2. Step 2: Convert to fraction form
    8,696.45/13,047.11 = 2,857.16/x
  3. Step 3: Cross multiply
    8,696.45x = 13,047.11 × 2,857.16
  4. Step 4: Simplify right side
    8,696.45x = 37,277,601.29
  5. Step 5: Solve for x
    x = 37,277,601.29/8,696.45
  6. Step 6: Final answer
    x = 4,286.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.