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Finding the Fourth Proportional to 7,422.85, 10,243.70 and 4,236.08

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Solution

The fourth proportional to 7,422.85, 10,243.70 and 4,236.08 is: 5,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.85 : 10,243.70 = 4,236.08 : x
  2. Step 2: Convert to fraction form
    7,422.85/10,243.70 = 4,236.08/x
  3. Step 3: Cross multiply
    7,422.85x = 10,243.70 × 4,236.08
  4. Step 4: Simplify right side
    7,422.85x = 43,393,158.31
  5. Step 5: Solve for x
    x = 43,393,158.31/7,422.85
  6. Step 6: Final answer
    x = 5,845.89

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Why These Related Problems?

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