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Finding the Fourth Proportional to 7,612.44, 11,402.48 and 3,657.89

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Solution

The fourth proportional to 7,612.44, 11,402.48 and 3,657.89 is: 5,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612.44 : 11,402.48 = 3,657.89 : x
  2. Step 2: Convert to fraction form
    7,612.44/11,402.48 = 3,657.89/x
  3. Step 3: Cross multiply
    7,612.44x = 11,402.48 × 3,657.89
  4. Step 4: Simplify right side
    7,612.44x = 41,708,942.27
  5. Step 5: Solve for x
    x = 41,708,942.27/7,612.44
  6. Step 6: Final answer
    x = 5,479.05

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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.