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Finding the Fourth Proportional to 7,453, 11,180.31 and 2,836

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Solution

The fourth proportional to 7,453, 11,180.31 and 2,836 is: 4,254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453 : 11,180.31 = 2,836 : x
  2. Step 2: Convert to fraction form
    7,453/11,180.31 = 2,836/x
  3. Step 3: Cross multiply
    7,453x = 11,180.31 × 2,836
  4. Step 4: Simplify right side
    7,453x = 31,707,359.16
  5. Step 5: Solve for x
    x = 31,707,359.16/7,453
  6. Step 6: Final answer
    x = 4,254.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.