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Finding the Fourth Proportional to 8,714.86, 13,072.13 and 2,141.10

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Solution

The fourth proportional to 8,714.86, 13,072.13 and 2,141.10 is: 3,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,714.86 : 13,072.13 = 2,141.10 : x
  2. Step 2: Convert to fraction form
    8,714.86/13,072.13 = 2,141.10/x
  3. Step 3: Cross multiply
    8,714.86x = 13,072.13 × 2,141.10
  4. Step 4: Simplify right side
    8,714.86x = 27,988,746.91
  5. Step 5: Solve for x
    x = 27,988,746.91/8,714.86
  6. Step 6: Final answer
    x = 3,211.61

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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.