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Finding the Fourth Proportional to 11,377.44, 15,698.12 and 6,409.44

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Solution

The fourth proportional to 11,377.44, 15,698.12 and 6,409.44 is: 8,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.44 : 15,698.12 = 6,409.44 : x
  2. Step 2: Convert to fraction form
    11,377.44/15,698.12 = 6,409.44/x
  3. Step 3: Cross multiply
    11,377.44x = 15,698.12 × 6,409.44
  4. Step 4: Simplify right side
    11,377.44x = 100,616,158.25
  5. Step 5: Solve for x
    x = 100,616,158.25/11,377.44
  6. Step 6: Final answer
    x = 8,843.48

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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.