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Finding the Fourth Proportional to 7,558.85, 10,431.87 and 4,202.31

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Solution

The fourth proportional to 7,558.85, 10,431.87 and 4,202.31 is: 5,799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,558.85 : 10,431.87 = 4,202.31 : x
  2. Step 2: Convert to fraction form
    7,558.85/10,431.87 = 4,202.31/x
  3. Step 3: Cross multiply
    7,558.85x = 10,431.87 × 4,202.31
  4. Step 4: Simplify right side
    7,558.85x = 43,837,974.98
  5. Step 5: Solve for x
    x = 43,837,974.98/7,558.85
  6. Step 6: Final answer
    x = 5,799.55

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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.