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Finding the Fourth Proportional to 11,198.26, 15,455.76 and 7,421.63

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Solution

The fourth proportional to 11,198.26, 15,455.76 and 7,421.63 is: 10,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.26 : 15,455.76 = 7,421.63 : x
  2. Step 2: Convert to fraction form
    11,198.26/15,455.76 = 7,421.63/x
  3. Step 3: Cross multiply
    11,198.26x = 15,455.76 × 7,421.63
  4. Step 4: Simplify right side
    11,198.26x = 114,706,932.09
  5. Step 5: Solve for x
    x = 114,706,932.09/11,198.26
  6. Step 6: Final answer
    x = 10,243.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.