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Finding the Fourth Proportional to 7,837.43, 11,745.14 and 4,329.08

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Solution

The fourth proportional to 7,837.43, 11,745.14 and 4,329.08 is: 6,487.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.43 : 11,745.14 = 4,329.08 : x
  2. Step 2: Convert to fraction form
    7,837.43/11,745.14 = 4,329.08/x
  3. Step 3: Cross multiply
    7,837.43x = 11,745.14 × 4,329.08
  4. Step 4: Simplify right side
    7,837.43x = 50,845,614.34
  5. Step 5: Solve for x
    x = 50,845,614.34/7,837.43
  6. Step 6: Final answer
    x = 6,487.54

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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.