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Finding the Fourth Proportional to 7,182.06, 10,769.04 and 2,794.50

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Solution

The fourth proportional to 7,182.06, 10,769.04 and 2,794.50 is: 4,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.06 : 10,769.04 = 2,794.50 : x
  2. Step 2: Convert to fraction form
    7,182.06/10,769.04 = 2,794.50/x
  3. Step 3: Cross multiply
    7,182.06x = 10,769.04 × 2,794.50
  4. Step 4: Simplify right side
    7,182.06x = 30,094,082.28
  5. Step 5: Solve for x
    x = 30,094,082.28/7,182.06
  6. Step 6: Final answer
    x = 4,190.17

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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.