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Finding the Fourth Proportional to 11,746.44, 16,209.36 and 7,027.92

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Solution

The fourth proportional to 11,746.44, 16,209.36 and 7,027.92 is: 9,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.44 : 16,209.36 = 7,027.92 : x
  2. Step 2: Convert to fraction form
    11,746.44/16,209.36 = 7,027.92/x
  3. Step 3: Cross multiply
    11,746.44x = 16,209.36 × 7,027.92
  4. Step 4: Simplify right side
    11,746.44x = 113,918,085.33
  5. Step 5: Solve for x
    x = 113,918,085.33/11,746.44
  6. Step 6: Final answer
    x = 9,698.09

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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.