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Finding the Fourth Proportional to 12,093.61, 18,147.42 and 5,073

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Solution

The fourth proportional to 12,093.61, 18,147.42 and 5,073 is: 7,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.61 : 18,147.42 = 5,073 : x
  2. Step 2: Convert to fraction form
    12,093.61/18,147.42 = 5,073/x
  3. Step 3: Cross multiply
    12,093.61x = 18,147.42 × 5,073
  4. Step 4: Simplify right side
    12,093.61x = 92,061,842.64
  5. Step 5: Solve for x
    x = 92,061,842.64/12,093.61
  6. Step 6: Final answer
    x = 7,612.44

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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.