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Finding the Fourth Proportional to 8,714.91, 13,072.34 and 2,474.93

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Solution

The fourth proportional to 8,714.91, 13,072.34 and 2,474.93 is: 3,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.91 : 13,072.34 = 2,474.93 : x
  2. Step 2: Convert to fraction form
    8,714.91/13,072.34 = 2,474.93/x
  3. Step 3: Cross multiply
    8,714.91x = 13,072.34 × 2,474.93
  4. Step 4: Simplify right side
    8,714.91x = 32,353,126.44
  5. Step 5: Solve for x
    x = 32,353,126.44/8,714.91
  6. Step 6: Final answer
    x = 3,712.39

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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.