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Finding the Fourth Proportional to 7,431.91, 10,255.77 and 4,074.65

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Solution

The fourth proportional to 7,431.91, 10,255.77 and 4,074.65 is: 5,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.91 : 10,255.77 = 4,074.65 : x
  2. Step 2: Convert to fraction form
    7,431.91/10,255.77 = 4,074.65/x
  3. Step 3: Cross multiply
    7,431.91x = 10,255.77 × 4,074.65
  4. Step 4: Simplify right side
    7,431.91x = 41,788,673.23
  5. Step 5: Solve for x
    x = 41,788,673.23/7,431.91
  6. Step 6: Final answer
    x = 5,622.87

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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.