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Finding the Fourth Proportional to 11,853.54, 17,782.34 and 5,279.58

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Solution

The fourth proportional to 11,853.54, 17,782.34 and 5,279.58 is: 7,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.54 : 17,782.34 = 5,279.58 : x
  2. Step 2: Convert to fraction form
    11,853.54/17,782.34 = 5,279.58/x
  3. Step 3: Cross multiply
    11,853.54x = 17,782.34 × 5,279.58
  4. Step 4: Simplify right side
    11,853.54x = 93,883,260.22
  5. Step 5: Solve for x
    x = 93,883,260.22/11,853.54
  6. Step 6: Final answer
    x = 7,920.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.