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Finding the Fourth Proportional to 8,389.75, 12,587.37 and 2,546.37

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Solution

The fourth proportional to 8,389.75, 12,587.37 and 2,546.37 is: 3,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.75 : 12,587.37 = 2,546.37 : x
  2. Step 2: Convert to fraction form
    8,389.75/12,587.37 = 2,546.37/x
  3. Step 3: Cross multiply
    8,389.75x = 12,587.37 × 2,546.37
  4. Step 4: Simplify right side
    8,389.75x = 32,052,101.35
  5. Step 5: Solve for x
    x = 32,052,101.35/8,389.75
  6. Step 6: Final answer
    x = 3,820.39

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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.