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Finding the Fourth Proportional to 7,510.26, 10,364.14 and 4,198.26

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Solution

The fourth proportional to 7,510.26, 10,364.14 and 4,198.26 is: 5,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.26 : 10,364.14 = 4,198.26 : x
  2. Step 2: Convert to fraction form
    7,510.26/10,364.14 = 4,198.26/x
  3. Step 3: Cross multiply
    7,510.26x = 10,364.14 × 4,198.26
  4. Step 4: Simplify right side
    7,510.26x = 43,511,354.40
  5. Step 5: Solve for x
    x = 43,511,354.40/7,510.26
  6. Step 6: Final answer
    x = 5,793.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.