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Finding the Fourth Proportional to 7,857.26, 10,842.37 and 4,626.57

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Solution

The fourth proportional to 7,857.26, 10,842.37 and 4,626.57 is: 6,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.26 : 10,842.37 = 4,626.57 : x
  2. Step 2: Convert to fraction form
    7,857.26/10,842.37 = 4,626.57/x
  3. Step 3: Cross multiply
    7,857.26x = 10,842.37 × 4,626.57
  4. Step 4: Simplify right side
    7,857.26x = 50,162,929.56
  5. Step 5: Solve for x
    x = 50,162,929.56/7,857.26
  6. Step 6: Final answer
    x = 6,384.28

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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.