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Finding the Fourth Proportional to 8,354.09, 12,533.08 and 2,431.12

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Solution

The fourth proportional to 8,354.09, 12,533.08 and 2,431.12 is: 3,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.09 : 12,533.08 = 2,431.12 : x
  2. Step 2: Convert to fraction form
    8,354.09/12,533.08 = 2,431.12/x
  3. Step 3: Cross multiply
    8,354.09x = 12,533.08 × 2,431.12
  4. Step 4: Simplify right side
    8,354.09x = 30,469,421.45
  5. Step 5: Solve for x
    x = 30,469,421.45/8,354.09
  6. Step 6: Final answer
    x = 3,647.25

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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.