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Finding the Fourth Proportional to 8,157.42, 11,247.39 and 6,896.25

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Solution

The fourth proportional to 8,157.42, 11,247.39 and 6,896.25 is: 9,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.42 : 11,247.39 = 6,896.25 : x
  2. Step 2: Convert to fraction form
    8,157.42/11,247.39 = 6,896.25/x
  3. Step 3: Cross multiply
    8,157.42x = 11,247.39 × 6,896.25
  4. Step 4: Simplify right side
    8,157.42x = 77,564,813.29
  5. Step 5: Solve for x
    x = 77,564,813.29/8,157.42
  6. Step 6: Final answer
    x = 9,508.50

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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.