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Finding the Fourth Proportional to 6,133.26, 8,457.38 and 5,633.88

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Solution

The fourth proportional to 6,133.26, 8,457.38 and 5,633.88 is: 7,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.26 : 8,457.38 = 5,633.88 : x
  2. Step 2: Convert to fraction form
    6,133.26/8,457.38 = 5,633.88/x
  3. Step 3: Cross multiply
    6,133.26x = 8,457.38 × 5,633.88
  4. Step 4: Simplify right side
    6,133.26x = 47,647,864.03
  5. Step 5: Solve for x
    x = 47,647,864.03/6,133.26
  6. Step 6: Final answer
    x = 7,768.77

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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.