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Finding the Fourth Proportional to 8,391.10, 12,589.14 and 3,461.03

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Solution

The fourth proportional to 8,391.10, 12,589.14 and 3,461.03 is: 5,192.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.10 : 12,589.14 = 3,461.03 : x
  2. Step 2: Convert to fraction form
    8,391.10/12,589.14 = 3,461.03/x
  3. Step 3: Cross multiply
    8,391.10x = 12,589.14 × 3,461.03
  4. Step 4: Simplify right side
    8,391.10x = 43,571,431.34
  5. Step 5: Solve for x
    x = 43,571,431.34/8,391.10
  6. Step 6: Final answer
    x = 5,192.58

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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.