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Finding the Fourth Proportional to 8,240.31, 12,360.47 and 2,000.33

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Solution

The fourth proportional to 8,240.31, 12,360.47 and 2,000.33 is: 3,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.31 : 12,360.47 = 2,000.33 : x
  2. Step 2: Convert to fraction form
    8,240.31/12,360.47 = 2,000.33/x
  3. Step 3: Cross multiply
    8,240.31x = 12,360.47 × 2,000.33
  4. Step 4: Simplify right side
    8,240.31x = 24,725,054.86
  5. Step 5: Solve for x
    x = 24,725,054.86/8,240.31
  6. Step 6: Final answer
    x = 3,000.50

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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.