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Finding the Fourth Proportional to 11,405.42, 15,738.56 and 6,369.34

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Solution

The fourth proportional to 11,405.42, 15,738.56 and 6,369.34 is: 8,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.42 : 15,738.56 = 6,369.34 : x
  2. Step 2: Convert to fraction form
    11,405.42/15,738.56 = 6,369.34/x
  3. Step 3: Cross multiply
    11,405.42x = 15,738.56 × 6,369.34
  4. Step 4: Simplify right side
    11,405.42x = 100,244,161.06
  5. Step 5: Solve for x
    x = 100,244,161.06/11,405.42
  6. Step 6: Final answer
    x = 8,789.17

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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.