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Finding the Fourth Proportional to 27,976.50, 41,965.16 and 7,200

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Solution

The fourth proportional to 27,976.50, 41,965.16 and 7,200 is: 10,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976.50 : 41,965.16 = 7,200 : x
  2. Step 2: Convert to fraction form
    27,976.50/41,965.16 = 7,200/x
  3. Step 3: Cross multiply
    27,976.50x = 41,965.16 × 7,200
  4. Step 4: Simplify right side
    27,976.50x = 302,149,116
  5. Step 5: Solve for x
    x = 302,149,116/27,976.50
  6. Step 6: Final answer
    x = 10,800.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.