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Finding the Fourth Proportional to 11,714.58, 17,561.28 and 4,314

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Solution

The fourth proportional to 11,714.58, 17,561.28 and 4,314 is: 6,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.58 : 17,561.28 = 4,314 : x
  2. Step 2: Convert to fraction form
    11,714.58/17,561.28 = 4,314/x
  3. Step 3: Cross multiply
    11,714.58x = 17,561.28 × 4,314
  4. Step 4: Simplify right side
    11,714.58x = 75,759,361.92
  5. Step 5: Solve for x
    x = 75,759,361.92/11,714.58
  6. Step 6: Final answer
    x = 6,467.10

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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.