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Finding the Fourth Proportional to 8,714.50, 13,072.62 and 2,474.80

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Solution

The fourth proportional to 8,714.50, 13,072.62 and 2,474.80 is: 3,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.50 : 13,072.62 = 2,474.80 : x
  2. Step 2: Convert to fraction form
    8,714.50/13,072.62 = 2,474.80/x
  3. Step 3: Cross multiply
    8,714.50x = 13,072.62 × 2,474.80
  4. Step 4: Simplify right side
    8,714.50x = 32,352,119.98
  5. Step 5: Solve for x
    x = 32,352,119.98/8,714.50
  6. Step 6: Final answer
    x = 3,712.45

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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.