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Finding the Fourth Proportional to 8,241.44, 11,374.68 and 5,258.20

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Solution

The fourth proportional to 8,241.44, 11,374.68 and 5,258.20 is: 7,257.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.44 : 11,374.68 = 5,258.20 : x
  2. Step 2: Convert to fraction form
    8,241.44/11,374.68 = 5,258.20/x
  3. Step 3: Cross multiply
    8,241.44x = 11,374.68 × 5,258.20
  4. Step 4: Simplify right side
    8,241.44x = 59,810,342.38
  5. Step 5: Solve for x
    x = 59,810,342.38/8,241.44
  6. Step 6: Final answer
    x = 7,257.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.