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Finding the Fourth Proportional to 7,820.67, 11,722.73 and 3,657.18

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Solution

The fourth proportional to 7,820.67, 11,722.73 and 3,657.18 is: 5,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.67 : 11,722.73 = 3,657.18 : x
  2. Step 2: Convert to fraction form
    7,820.67/11,722.73 = 3,657.18/x
  3. Step 3: Cross multiply
    7,820.67x = 11,722.73 × 3,657.18
  4. Step 4: Simplify right side
    7,820.67x = 42,872,115.42
  5. Step 5: Solve for x
    x = 42,872,115.42/7,820.67
  6. Step 6: Final answer
    x = 5,481.90

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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.