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Finding the Fourth Proportional to 7,433.24, 10,257.76 and 4,076.24

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Solution

The fourth proportional to 7,433.24, 10,257.76 and 4,076.24 is: 5,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.24 : 10,257.76 = 4,076.24 : x
  2. Step 2: Convert to fraction form
    7,433.24/10,257.76 = 4,076.24/x
  3. Step 3: Cross multiply
    7,433.24x = 10,257.76 × 4,076.24
  4. Step 4: Simplify right side
    7,433.24x = 41,813,091.62
  5. Step 5: Solve for x
    x = 41,813,091.62/7,433.24
  6. Step 6: Final answer
    x = 5,625.15

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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.