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Finding the Fourth Proportional to 7,809.21, 11,705.48 and 3,644.37

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Solution

The fourth proportional to 7,809.21, 11,705.48 and 3,644.37 is: 5,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.21 : 11,705.48 = 3,644.37 : x
  2. Step 2: Convert to fraction form
    7,809.21/11,705.48 = 3,644.37/x
  3. Step 3: Cross multiply
    7,809.21x = 11,705.48 × 3,644.37
  4. Step 4: Simplify right side
    7,809.21x = 42,659,081.93
  5. Step 5: Solve for x
    x = 42,659,081.93/7,809.21
  6. Step 6: Final answer
    x = 5,462.66

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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.