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Finding the Fourth Proportional to 8,207.40, 12,308.40 and 3,012.60

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Solution

The fourth proportional to 8,207.40, 12,308.40 and 3,012.60 is: 4,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.40 : 12,308.40 = 3,012.60 : x
  2. Step 2: Convert to fraction form
    8,207.40/12,308.40 = 3,012.60/x
  3. Step 3: Cross multiply
    8,207.40x = 12,308.40 × 3,012.60
  4. Step 4: Simplify right side
    8,207.40x = 37,080,285.84
  5. Step 5: Solve for x
    x = 37,080,285.84/8,207.40
  6. Step 6: Final answer
    x = 4,517.91

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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.