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Finding the Fourth Proportional to 7,615.44, 11,421.54 and 2,422.80

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Solution

The fourth proportional to 7,615.44, 11,421.54 and 2,422.80 is: 3,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.44 : 11,421.54 = 2,422.80 : x
  2. Step 2: Convert to fraction form
    7,615.44/11,421.54 = 2,422.80/x
  3. Step 3: Cross multiply
    7,615.44x = 11,421.54 × 2,422.80
  4. Step 4: Simplify right side
    7,615.44x = 27,672,107.11
  5. Step 5: Solve for x
    x = 27,672,107.11/7,615.44
  6. Step 6: Final answer
    x = 3,633.68

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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.