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Finding the Fourth Proportional to 7,136.84, 10,707.79 and 3,187.73

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Solution

The fourth proportional to 7,136.84, 10,707.79 and 3,187.73 is: 4,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.84 : 10,707.79 = 3,187.73 : x
  2. Step 2: Convert to fraction form
    7,136.84/10,707.79 = 3,187.73/x
  3. Step 3: Cross multiply
    7,136.84x = 10,707.79 × 3,187.73
  4. Step 4: Simplify right side
    7,136.84x = 34,133,527.48
  5. Step 5: Solve for x
    x = 34,133,527.48/7,136.84
  6. Step 6: Final answer
    x = 4,782.73

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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.