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Finding the Fourth Proportional to 8,212.52, 12,318.54 and 3,017

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Solution

The fourth proportional to 8,212.52, 12,318.54 and 3,017 is: 4,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.52 : 12,318.54 = 3,017 : x
  2. Step 2: Convert to fraction form
    8,212.52/12,318.54 = 3,017/x
  3. Step 3: Cross multiply
    8,212.52x = 12,318.54 × 3,017
  4. Step 4: Simplify right side
    8,212.52x = 37,165,035.18
  5. Step 5: Solve for x
    x = 37,165,035.18/8,212.52
  6. Step 6: Final answer
    x = 4,525.41

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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.