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Finding the Fourth Proportional to 11,157.64, 15,396.42 and 6,443.44

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Solution

The fourth proportional to 11,157.64, 15,396.42 and 6,443.44 is: 8,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,157.64 : 15,396.42 = 6,443.44 : x
  2. Step 2: Convert to fraction form
    11,157.64/15,396.42 = 6,443.44/x
  3. Step 3: Cross multiply
    11,157.64x = 15,396.42 × 6,443.44
  4. Step 4: Simplify right side
    11,157.64x = 99,205,908.48
  5. Step 5: Solve for x
    x = 99,205,908.48/11,157.64
  6. Step 6: Final answer
    x = 8,891.30

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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.