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Finding the Fourth Proportional to 10,316.67, 14,234.64 and 5,839.44

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Solution

The fourth proportional to 10,316.67, 14,234.64 and 5,839.44 is: 8,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.67 : 14,234.64 = 5,839.44 : x
  2. Step 2: Convert to fraction form
    10,316.67/14,234.64 = 5,839.44/x
  3. Step 3: Cross multiply
    10,316.67x = 14,234.64 × 5,839.44
  4. Step 4: Simplify right side
    10,316.67x = 83,122,330.99
  5. Step 5: Solve for x
    x = 83,122,330.99/10,316.67
  6. Step 6: Final answer
    x = 8,057.09

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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.