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Finding the Fourth Proportional to 7,608.26, 11,404.56 and 3,707.84

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Solution

The fourth proportional to 7,608.26, 11,404.56 and 3,707.84 is: 5,557.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.26 : 11,404.56 = 3,707.84 : x
  2. Step 2: Convert to fraction form
    7,608.26/11,404.56 = 3,707.84/x
  3. Step 3: Cross multiply
    7,608.26x = 11,404.56 × 3,707.84
  4. Step 4: Simplify right side
    7,608.26x = 42,286,283.75
  5. Step 5: Solve for x
    x = 42,286,283.75/7,608.26
  6. Step 6: Final answer
    x = 5,557.94

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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.