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Finding the Fourth Proportional to 8,187.89, 11,299.50 and 4,651.63

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Solution

The fourth proportional to 8,187.89, 11,299.50 and 4,651.63 is: 6,419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.89 : 11,299.50 = 4,651.63 : x
  2. Step 2: Convert to fraction form
    8,187.89/11,299.50 = 4,651.63/x
  3. Step 3: Cross multiply
    8,187.89x = 11,299.50 × 4,651.63
  4. Step 4: Simplify right side
    8,187.89x = 52,561,064.94
  5. Step 5: Solve for x
    x = 52,561,064.94/8,187.89
  6. Step 6: Final answer
    x = 6,419.37

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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.