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Finding the Fourth Proportional to 7,431.57, 10,255.56 and 4,074.31

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Solution

The fourth proportional to 7,431.57, 10,255.56 and 4,074.31 is: 5,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.57 : 10,255.56 = 4,074.31 : x
  2. Step 2: Convert to fraction form
    7,431.57/10,255.56 = 4,074.31/x
  3. Step 3: Cross multiply
    7,431.57x = 10,255.56 × 4,074.31
  4. Step 4: Simplify right side
    7,431.57x = 41,784,330.66
  5. Step 5: Solve for x
    x = 41,784,330.66/7,431.57
  6. Step 6: Final answer
    x = 5,622.55

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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.