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Finding the Fourth Proportional to 8,406.19, 12,607.66 and 2,563.39

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Solution

The fourth proportional to 8,406.19, 12,607.66 and 2,563.39 is: 3,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.19 : 12,607.66 = 2,563.39 : x
  2. Step 2: Convert to fraction form
    8,406.19/12,607.66 = 2,563.39/x
  3. Step 3: Cross multiply
    8,406.19x = 12,607.66 × 2,563.39
  4. Step 4: Simplify right side
    8,406.19x = 32,318,349.57
  5. Step 5: Solve for x
    x = 32,318,349.57/8,406.19
  6. Step 6: Final answer
    x = 3,844.59

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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.