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Finding the Fourth Proportional to 8,714.70, 13,064.13 and 3,517.02

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Solution

The fourth proportional to 8,714.70, 13,064.13 and 3,517.02 is: 5,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.70 : 13,064.13 = 3,517.02 : x
  2. Step 2: Convert to fraction form
    8,714.70/13,064.13 = 3,517.02/x
  3. Step 3: Cross multiply
    8,714.70x = 13,064.13 × 3,517.02
  4. Step 4: Simplify right side
    8,714.70x = 45,946,806.49
  5. Step 5: Solve for x
    x = 45,946,806.49/8,714.70
  6. Step 6: Final answer
    x = 5,272.33

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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.