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Finding the Fourth Proportional to 7,806.71, 11,704.59 and 6,581.99

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Solution

The fourth proportional to 7,806.71, 11,704.59 and 6,581.99 is: 9,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.71 : 11,704.59 = 6,581.99 : x
  2. Step 2: Convert to fraction form
    7,806.71/11,704.59 = 6,581.99/x
  3. Step 3: Cross multiply
    7,806.71x = 11,704.59 × 6,581.99
  4. Step 4: Simplify right side
    7,806.71x = 77,039,523.60
  5. Step 5: Solve for x
    x = 77,039,523.60/7,806.71
  6. Step 6: Final answer
    x = 9,868.37

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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.