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Finding the Fourth Proportional to 10,714.39, 14,786.53 and 5,998.67

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Solution

The fourth proportional to 10,714.39, 14,786.53 and 5,998.67 is: 8,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.39 : 14,786.53 = 5,998.67 : x
  2. Step 2: Convert to fraction form
    10,714.39/14,786.53 = 5,998.67/x
  3. Step 3: Cross multiply
    10,714.39x = 14,786.53 × 5,998.67
  4. Step 4: Simplify right side
    10,714.39x = 88,699,513.92
  5. Step 5: Solve for x
    x = 88,699,513.92/10,714.39
  6. Step 6: Final answer
    x = 8,278.54

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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.