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Finding the Fourth Proportional to 10,714.05, 14,785.38 and 5,998.34

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Solution

The fourth proportional to 10,714.05, 14,785.38 and 5,998.34 is: 8,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.05 : 14,785.38 = 5,998.34 : x
  2. Step 2: Convert to fraction form
    10,714.05/14,785.38 = 5,998.34/x
  3. Step 3: Cross multiply
    10,714.05x = 14,785.38 × 5,998.34
  4. Step 4: Simplify right side
    10,714.05x = 88,687,662.34
  5. Step 5: Solve for x
    x = 88,687,662.34/10,714.05
  6. Step 6: Final answer
    x = 8,277.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.