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Finding the Fourth Proportional to 8,563.88, 12,846.38 and 3,301.40

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Solution

The fourth proportional to 8,563.88, 12,846.38 and 3,301.40 is: 4,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.88 : 12,846.38 = 3,301.40 : x
  2. Step 2: Convert to fraction form
    8,563.88/12,846.38 = 3,301.40/x
  3. Step 3: Cross multiply
    8,563.88x = 12,846.38 × 3,301.40
  4. Step 4: Simplify right side
    8,563.88x = 42,410,958.19
  5. Step 5: Solve for x
    x = 42,410,958.19/8,563.88
  6. Step 6: Final answer
    x = 4,952.31

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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.