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Finding the Fourth Proportional to 8,201.08, 11,316 and 4,844.44

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Solution

The fourth proportional to 8,201.08, 11,316 and 4,844.44 is: 6,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.08 : 11,316 = 4,844.44 : x
  2. Step 2: Convert to fraction form
    8,201.08/11,316 = 4,844.44/x
  3. Step 3: Cross multiply
    8,201.08x = 11,316 × 4,844.44
  4. Step 4: Simplify right side
    8,201.08x = 54,819,683.04
  5. Step 5: Solve for x
    x = 54,819,683.04/8,201.08
  6. Step 6: Final answer
    x = 6,684.45

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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.