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Finding the Fourth Proportional to 8,262.47, 12,393.71 and 2,714.33

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Solution

The fourth proportional to 8,262.47, 12,393.71 and 2,714.33 is: 4,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.47 : 12,393.71 = 2,714.33 : x
  2. Step 2: Convert to fraction form
    8,262.47/12,393.71 = 2,714.33/x
  3. Step 3: Cross multiply
    8,262.47x = 12,393.71 × 2,714.33
  4. Step 4: Simplify right side
    8,262.47x = 33,640,576.74
  5. Step 5: Solve for x
    x = 33,640,576.74/8,262.47
  6. Step 6: Final answer
    x = 4,071.49

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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.