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Finding the Fourth Proportional to 8,299, 12,448.52 and 2,143

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Solution

The fourth proportional to 8,299, 12,448.52 and 2,143 is: 3,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299 : 12,448.52 = 2,143 : x
  2. Step 2: Convert to fraction form
    8,299/12,448.52 = 2,143/x
  3. Step 3: Cross multiply
    8,299x = 12,448.52 × 2,143
  4. Step 4: Simplify right side
    8,299x = 26,677,178.36
  5. Step 5: Solve for x
    x = 26,677,178.36/8,299
  6. Step 6: Final answer
    x = 3,214.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.