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Finding the Fourth Proportional to 8,220.48, 12,330.24 and 2,064

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Solution

The fourth proportional to 8,220.48, 12,330.24 and 2,064 is: 3,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.48 : 12,330.24 = 2,064 : x
  2. Step 2: Convert to fraction form
    8,220.48/12,330.24 = 2,064/x
  3. Step 3: Cross multiply
    8,220.48x = 12,330.24 × 2,064
  4. Step 4: Simplify right side
    8,220.48x = 25,449,615.36
  5. Step 5: Solve for x
    x = 25,449,615.36/8,220.48
  6. Step 6: Final answer
    x = 3,095.88

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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.