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Finding the Fourth Proportional to 7,444.74, 11,161.16 and 3,745.06

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Solution

The fourth proportional to 7,444.74, 11,161.16 and 3,745.06 is: 5,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444.74 : 11,161.16 = 3,745.06 : x
  2. Step 2: Convert to fraction form
    7,444.74/11,161.16 = 3,745.06/x
  3. Step 3: Cross multiply
    7,444.74x = 11,161.16 × 3,745.06
  4. Step 4: Simplify right side
    7,444.74x = 41,799,213.87
  5. Step 5: Solve for x
    x = 41,799,213.87/7,444.74
  6. Step 6: Final answer
    x = 5,614.60

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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.