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Finding the Fourth Proportional to 11,454.39, 15,798.29 and 7,676.37

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Solution

The fourth proportional to 11,454.39, 15,798.29 and 7,676.37 is: 10,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.39 : 15,798.29 = 7,676.37 : x
  2. Step 2: Convert to fraction form
    11,454.39/15,798.29 = 7,676.37/x
  3. Step 3: Cross multiply
    11,454.39x = 15,798.29 × 7,676.37
  4. Step 4: Simplify right side
    11,454.39x = 121,273,481.03
  5. Step 5: Solve for x
    x = 121,273,481.03/11,454.39
  6. Step 6: Final answer
    x = 10,587.51

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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.