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Finding the Fourth Proportional to 8,143.02, 12,214.89 and 2,300.09

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Solution

The fourth proportional to 8,143.02, 12,214.89 and 2,300.09 is: 3,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.02 : 12,214.89 = 2,300.09 : x
  2. Step 2: Convert to fraction form
    8,143.02/12,214.89 = 2,300.09/x
  3. Step 3: Cross multiply
    8,143.02x = 12,214.89 × 2,300.09
  4. Step 4: Simplify right side
    8,143.02x = 28,095,285.27
  5. Step 5: Solve for x
    x = 28,095,285.27/8,143.02
  6. Step 6: Final answer
    x = 3,450.23

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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.