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Finding the Fourth Proportional to 8,033.56, 11,085.98 and 4,676.46

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Solution

The fourth proportional to 8,033.56, 11,085.98 and 4,676.46 is: 6,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.56 : 11,085.98 = 4,676.46 : x
  2. Step 2: Convert to fraction form
    8,033.56/11,085.98 = 4,676.46/x
  3. Step 3: Cross multiply
    8,033.56x = 11,085.98 × 4,676.46
  4. Step 4: Simplify right side
    8,033.56x = 51,843,142.03
  5. Step 5: Solve for x
    x = 51,843,142.03/8,033.56
  6. Step 6: Final answer
    x = 6,453.32

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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.