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Finding the Fourth Proportional to 10,714.47, 14,786.19 and 5,998.38

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Solution

The fourth proportional to 10,714.47, 14,786.19 and 5,998.38 is: 8,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.47 : 14,786.19 = 5,998.38 : x
  2. Step 2: Convert to fraction form
    10,714.47/14,786.19 = 5,998.38/x
  3. Step 3: Cross multiply
    10,714.47x = 14,786.19 × 5,998.38
  4. Step 4: Simplify right side
    10,714.47x = 88,693,186.37
  5. Step 5: Solve for x
    x = 88,693,186.37/10,714.47
  6. Step 6: Final answer
    x = 8,277.89

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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.