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Finding the Fourth Proportional to 8,406.98, 12,610.01 and 2,563.13

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Solution

The fourth proportional to 8,406.98, 12,610.01 and 2,563.13 is: 3,844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.98 : 12,610.01 = 2,563.13 : x
  2. Step 2: Convert to fraction form
    8,406.98/12,610.01 = 2,563.13/x
  3. Step 3: Cross multiply
    8,406.98x = 12,610.01 × 2,563.13
  4. Step 4: Simplify right side
    8,406.98x = 32,321,019.07
  5. Step 5: Solve for x
    x = 32,321,019.07/8,406.98
  6. Step 6: Final answer
    x = 3,844.55

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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.