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Finding the Fourth Proportional to 8,562.96, 12,846.02 and 3,016.49

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Solution

The fourth proportional to 8,562.96, 12,846.02 and 3,016.49 is: 4,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.96 : 12,846.02 = 3,016.49 : x
  2. Step 2: Convert to fraction form
    8,562.96/12,846.02 = 3,016.49/x
  3. Step 3: Cross multiply
    8,562.96x = 12,846.02 × 3,016.49
  4. Step 4: Simplify right side
    8,562.96x = 38,749,811.56
  5. Step 5: Solve for x
    x = 38,749,811.56/8,562.96
  6. Step 6: Final answer
    x = 4,525.28

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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.