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Finding the Fourth Proportional to 8,158.14, 12,235.50 and 2,313.18

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Solution

The fourth proportional to 8,158.14, 12,235.50 and 2,313.18 is: 3,469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.14 : 12,235.50 = 2,313.18 : x
  2. Step 2: Convert to fraction form
    8,158.14/12,235.50 = 2,313.18/x
  3. Step 3: Cross multiply
    8,158.14x = 12,235.50 × 2,313.18
  4. Step 4: Simplify right side
    8,158.14x = 28,302,913.89
  5. Step 5: Solve for x
    x = 28,302,913.89/8,158.14
  6. Step 6: Final answer
    x = 3,469.29

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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.