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Finding the Fourth Proportional to 11,439.64, 15,786.82 and 6,724

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Solution

The fourth proportional to 11,439.64, 15,786.82 and 6,724 is: 9,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.64 : 15,786.82 = 6,724 : x
  2. Step 2: Convert to fraction form
    11,439.64/15,786.82 = 6,724/x
  3. Step 3: Cross multiply
    11,439.64x = 15,786.82 × 6,724
  4. Step 4: Simplify right side
    11,439.64x = 106,150,577.68
  5. Step 5: Solve for x
    x = 106,150,577.68/11,439.64
  6. Step 6: Final answer
    x = 9,279.19

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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.