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Finding the Fourth Proportional to 11,276.44, 16,918.98 and 5,119

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Solution

The fourth proportional to 11,276.44, 16,918.98 and 5,119 is: 7,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,276.44 : 16,918.98 = 5,119 : x
  2. Step 2: Convert to fraction form
    11,276.44/16,918.98 = 5,119/x
  3. Step 3: Cross multiply
    11,276.44x = 16,918.98 × 5,119
  4. Step 4: Simplify right side
    11,276.44x = 86,608,258.62
  5. Step 5: Solve for x
    x = 86,608,258.62/11,276.44
  6. Step 6: Final answer
    x = 7,680.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.