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Finding the Fourth Proportional to 8,032.38, 11,085.03 and 4,676.28

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Solution

The fourth proportional to 8,032.38, 11,085.03 and 4,676.28 is: 6,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.38 : 11,085.03 = 4,676.28 : x
  2. Step 2: Convert to fraction form
    8,032.38/11,085.03 = 4,676.28/x
  3. Step 3: Cross multiply
    8,032.38x = 11,085.03 × 4,676.28
  4. Step 4: Simplify right side
    8,032.38x = 51,836,704.09
  5. Step 5: Solve for x
    x = 51,836,704.09/8,032.38
  6. Step 6: Final answer
    x = 6,453.47

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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.