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Finding the Fourth Proportional to 7,701.50, 11,543.81 and 3,020.72

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Solution

The fourth proportional to 7,701.50, 11,543.81 and 3,020.72 is: 4,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.50 : 11,543.81 = 3,020.72 : x
  2. Step 2: Convert to fraction form
    7,701.50/11,543.81 = 3,020.72/x
  3. Step 3: Cross multiply
    7,701.50x = 11,543.81 × 3,020.72
  4. Step 4: Simplify right side
    7,701.50x = 34,870,544.92
  5. Step 5: Solve for x
    x = 34,870,544.92/7,701.50
  6. Step 6: Final answer
    x = 4,527.76

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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.