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Finding the Fourth Proportional to 6,784.51, 10,168.26 and 3,864.46

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Solution

The fourth proportional to 6,784.51, 10,168.26 and 3,864.46 is: 5,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.51 : 10,168.26 = 3,864.46 : x
  2. Step 2: Convert to fraction form
    6,784.51/10,168.26 = 3,864.46/x
  3. Step 3: Cross multiply
    6,784.51x = 10,168.26 × 3,864.46
  4. Step 4: Simplify right side
    6,784.51x = 39,294,834.04
  5. Step 5: Solve for x
    x = 39,294,834.04/6,784.51
  6. Step 6: Final answer
    x = 5,791.85

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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.