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Finding the Fourth Proportional to 7,183.76, 10,769.88 and 4,061.84

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Solution

The fourth proportional to 7,183.76, 10,769.88 and 4,061.84 is: 6,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.76 : 10,769.88 = 4,061.84 : x
  2. Step 2: Convert to fraction form
    7,183.76/10,769.88 = 4,061.84/x
  3. Step 3: Cross multiply
    7,183.76x = 10,769.88 × 4,061.84
  4. Step 4: Simplify right side
    7,183.76x = 43,745,529.38
  5. Step 5: Solve for x
    x = 43,745,529.38/7,183.76
  6. Step 6: Final answer
    x = 6,089.50

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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.