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Finding the Fourth Proportional to 8,493.93, 11,676.33 and 7,588.17

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Solution

The fourth proportional to 8,493.93, 11,676.33 and 7,588.17 is: 10,431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.93 : 11,676.33 = 7,588.17 : x
  2. Step 2: Convert to fraction form
    8,493.93/11,676.33 = 7,588.17/x
  3. Step 3: Cross multiply
    8,493.93x = 11,676.33 × 7,588.17
  4. Step 4: Simplify right side
    8,493.93x = 88,601,977.02
  5. Step 5: Solve for x
    x = 88,601,977.02/8,493.93
  6. Step 6: Final answer
    x = 10,431.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.