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Finding the Fourth Proportional to 8,696.25, 11,995.52 and 5,157.09

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Solution

The fourth proportional to 8,696.25, 11,995.52 and 5,157.09 is: 7,113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.25 : 11,995.52 = 5,157.09 : x
  2. Step 2: Convert to fraction form
    8,696.25/11,995.52 = 5,157.09/x
  3. Step 3: Cross multiply
    8,696.25x = 11,995.52 × 5,157.09
  4. Step 4: Simplify right side
    8,696.25x = 61,861,950.45
  5. Step 5: Solve for x
    x = 61,861,950.45/8,696.25
  6. Step 6: Final answer
    x = 7,113.64

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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.