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Finding the Fourth Proportional to 8,239.50, 12,362.67 and 3,312.63

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Solution

The fourth proportional to 8,239.50, 12,362.67 and 3,312.63 is: 4,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.50 : 12,362.67 = 3,312.63 : x
  2. Step 2: Convert to fraction form
    8,239.50/12,362.67 = 3,312.63/x
  3. Step 3: Cross multiply
    8,239.50x = 12,362.67 × 3,312.63
  4. Step 4: Simplify right side
    8,239.50x = 40,952,951.52
  5. Step 5: Solve for x
    x = 40,952,951.52/8,239.50
  6. Step 6: Final answer
    x = 4,970.32

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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.