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Finding the Fourth Proportional to 10,157, 14,018.28 and 5,964.44

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Solution

The fourth proportional to 10,157, 14,018.28 and 5,964.44 is: 8,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157 : 14,018.28 = 5,964.44 : x
  2. Step 2: Convert to fraction form
    10,157/14,018.28 = 5,964.44/x
  3. Step 3: Cross multiply
    10,157x = 14,018.28 × 5,964.44
  4. Step 4: Simplify right side
    10,157x = 83,611,189.96
  5. Step 5: Solve for x
    x = 83,611,189.96/10,157
  6. Step 6: Final answer
    x = 8,231.88

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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.