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Finding the Fourth Proportional to 10,393.17, 14,342.04 and 5,676.54

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Solution

The fourth proportional to 10,393.17, 14,342.04 and 5,676.54 is: 7,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.17 : 14,342.04 = 5,676.54 : x
  2. Step 2: Convert to fraction form
    10,393.17/14,342.04 = 5,676.54/x
  3. Step 3: Cross multiply
    10,393.17x = 14,342.04 × 5,676.54
  4. Step 4: Simplify right side
    10,393.17x = 81,413,163.74
  5. Step 5: Solve for x
    x = 81,413,163.74/10,393.17
  6. Step 6: Final answer
    x = 7,833.33

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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.