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Finding the Fourth Proportional to 7,806.00, 10,772.07 and 4,268.99

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Solution

The fourth proportional to 7,806.00, 10,772.07 and 4,268.99 is: 5,891.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.00 : 10,772.07 = 4,268.99 : x
  2. Step 2: Convert to fraction form
    7,806.00/10,772.07 = 4,268.99/x
  3. Step 3: Cross multiply
    7,806.00x = 10,772.07 × 4,268.99
  4. Step 4: Simplify right side
    7,806.00x = 45,985,870.03
  5. Step 5: Solve for x
    x = 45,985,870.03/7,806.00
  6. Step 6: Final answer
    x = 5,891.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.