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Finding the Fourth Proportional to 7,452, 10,285.92 and 4,968

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Solution

The fourth proportional to 7,452, 10,285.92 and 4,968 is: 6,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452 : 10,285.92 = 4,968 : x
  2. Step 2: Convert to fraction form
    7,452/10,285.92 = 4,968/x
  3. Step 3: Cross multiply
    7,452x = 10,285.92 × 4,968
  4. Step 4: Simplify right side
    7,452x = 51,100,450.56
  5. Step 5: Solve for x
    x = 51,100,450.56/7,452
  6. Step 6: Final answer
    x = 6,857.28

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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.