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Finding the Fourth Proportional to 10,714.64, 14,786.39 and 5,998.91

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Solution

The fourth proportional to 10,714.64, 14,786.39 and 5,998.91 is: 8,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.64 : 14,786.39 = 5,998.91 : x
  2. Step 2: Convert to fraction form
    10,714.64/14,786.39 = 5,998.91/x
  3. Step 3: Cross multiply
    10,714.64x = 14,786.39 × 5,998.91
  4. Step 4: Simplify right side
    10,714.64x = 88,702,163.90
  5. Step 5: Solve for x
    x = 88,702,163.90/10,714.64
  6. Step 6: Final answer
    x = 8,278.60

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