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Finding the Fourth Proportional to 8,312.36, 12,467.26 and 2,765.80

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Solution

The fourth proportional to 8,312.36, 12,467.26 and 2,765.80 is: 4,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.36 : 12,467.26 = 2,765.80 : x
  2. Step 2: Convert to fraction form
    8,312.36/12,467.26 = 2,765.80/x
  3. Step 3: Cross multiply
    8,312.36x = 12,467.26 × 2,765.80
  4. Step 4: Simplify right side
    8,312.36x = 34,481,947.71
  5. Step 5: Solve for x
    x = 34,481,947.71/8,312.36
  6. Step 6: Final answer
    x = 4,148.27

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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.