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Finding the Fourth Proportional to 8,431.79, 12,647.39 and 2,588.25

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Solution

The fourth proportional to 8,431.79, 12,647.39 and 2,588.25 is: 3,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.79 : 12,647.39 = 2,588.25 : x
  2. Step 2: Convert to fraction form
    8,431.79/12,647.39 = 2,588.25/x
  3. Step 3: Cross multiply
    8,431.79x = 12,647.39 × 2,588.25
  4. Step 4: Simplify right side
    8,431.79x = 32,734,594.23
  5. Step 5: Solve for x
    x = 32,734,594.23/8,431.79
  6. Step 6: Final answer
    x = 3,882.28

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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.