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Finding the Fourth Proportional to 11,381.44, 15,705.12 and 6,906.28

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Solution

The fourth proportional to 11,381.44, 15,705.12 and 6,906.28 is: 9,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.44 : 15,705.12 = 6,906.28 : x
  2. Step 2: Convert to fraction form
    11,381.44/15,705.12 = 6,906.28/x
  3. Step 3: Cross multiply
    11,381.44x = 15,705.12 × 6,906.28
  4. Step 4: Simplify right side
    11,381.44x = 108,463,956.15
  5. Step 5: Solve for x
    x = 108,463,956.15/11,381.44
  6. Step 6: Final answer
    x = 9,529.90

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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.