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Finding the Fourth Proportional to 8,546.12, 12,796.79 and 6,871.34

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Solution

The fourth proportional to 8,546.12, 12,796.79 and 6,871.34 is: 10,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.12 : 12,796.79 = 6,871.34 : x
  2. Step 2: Convert to fraction form
    8,546.12/12,796.79 = 6,871.34/x
  3. Step 3: Cross multiply
    8,546.12x = 12,796.79 × 6,871.34
  4. Step 4: Simplify right side
    8,546.12x = 87,931,031.01
  5. Step 5: Solve for x
    x = 87,931,031.01/8,546.12
  6. Step 6: Final answer
    x = 10,289.01

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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.