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Finding the Fourth Proportional to 7,287, 10,056.10 and 3,975

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Solution

The fourth proportional to 7,287, 10,056.10 and 3,975 is: 5,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287 : 10,056.10 = 3,975 : x
  2. Step 2: Convert to fraction form
    7,287/10,056.10 = 3,975/x
  3. Step 3: Cross multiply
    7,287x = 10,056.10 × 3,975
  4. Step 4: Simplify right side
    7,287x = 39,972,997.50
  5. Step 5: Solve for x
    x = 39,972,997.50/7,287
  6. Step 6: Final answer
    x = 5,485.52

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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.