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Finding the Fourth Proportional to 8,189.34, 12,284.10 and 3,258.96

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Solution

The fourth proportional to 8,189.34, 12,284.10 and 3,258.96 is: 4,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,189.34 : 12,284.10 = 3,258.96 : x
  2. Step 2: Convert to fraction form
    8,189.34/12,284.10 = 3,258.96/x
  3. Step 3: Cross multiply
    8,189.34x = 12,284.10 × 3,258.96
  4. Step 4: Simplify right side
    8,189.34x = 40,033,390.54
  5. Step 5: Solve for x
    x = 40,033,390.54/8,189.34
  6. Step 6: Final answer
    x = 4,888.48

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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.