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Finding the Fourth Proportional to 6,769.77, 10,154.70 and 3,073.11

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Solution

The fourth proportional to 6,769.77, 10,154.70 and 3,073.11 is: 4,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.77 : 10,154.70 = 3,073.11 : x
  2. Step 2: Convert to fraction form
    6,769.77/10,154.70 = 3,073.11/x
  3. Step 3: Cross multiply
    6,769.77x = 10,154.70 × 3,073.11
  4. Step 4: Simplify right side
    6,769.77x = 31,206,510.12
  5. Step 5: Solve for x
    x = 31,206,510.12/6,769.77
  6. Step 6: Final answer
    x = 4,609.69

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