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Finding the Fourth Proportional to 11,714.68, 17,579.80 and 5,475.17

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Solution

The fourth proportional to 11,714.68, 17,579.80 and 5,475.17 is: 8,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.68 : 17,579.80 = 5,475.17 : x
  2. Step 2: Convert to fraction form
    11,714.68/17,579.80 = 5,475.17/x
  3. Step 3: Cross multiply
    11,714.68x = 17,579.80 × 5,475.17
  4. Step 4: Simplify right side
    11,714.68x = 96,252,444.36
  5. Step 5: Solve for x
    x = 96,252,444.36/11,714.68
  6. Step 6: Final answer
    x = 8,216.39

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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.