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Finding the Fourth Proportional to 11,615.26, 17,415.14 and 4,218.76

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Solution

The fourth proportional to 11,615.26, 17,415.14 and 4,218.76 is: 6,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.26 : 17,415.14 = 4,218.76 : x
  2. Step 2: Convert to fraction form
    11,615.26/17,415.14 = 4,218.76/x
  3. Step 3: Cross multiply
    11,615.26x = 17,415.14 × 4,218.76
  4. Step 4: Simplify right side
    11,615.26x = 73,470,296.03
  5. Step 5: Solve for x
    x = 73,470,296.03/11,615.26
  6. Step 6: Final answer
    x = 6,325.33

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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.