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Finding the Fourth Proportional to 11,194.54, 15,448.26 and 7,657.63

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Solution

The fourth proportional to 11,194.54, 15,448.26 and 7,657.63 is: 10,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.54 : 15,448.26 = 7,657.63 : x
  2. Step 2: Convert to fraction form
    11,194.54/15,448.26 = 7,657.63/x
  3. Step 3: Cross multiply
    11,194.54x = 15,448.26 × 7,657.63
  4. Step 4: Simplify right side
    11,194.54x = 118,297,059.22
  5. Step 5: Solve for x
    x = 118,297,059.22/11,194.54
  6. Step 6: Final answer
    x = 10,567.39

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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.