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Finding the Fourth Proportional to 7,588.67, 11,385.23 and 3,893.49

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Solution

The fourth proportional to 7,588.67, 11,385.23 and 3,893.49 is: 5,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.67 : 11,385.23 = 3,893.49 : x
  2. Step 2: Convert to fraction form
    7,588.67/11,385.23 = 3,893.49/x
  3. Step 3: Cross multiply
    7,588.67x = 11,385.23 × 3,893.49
  4. Step 4: Simplify right side
    7,588.67x = 44,328,259.69
  5. Step 5: Solve for x
    x = 44,328,259.69/7,588.67
  6. Step 6: Final answer
    x = 5,841.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.