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Finding the Fourth Proportional to 11,615.74, 17,424.26 and 3,718.95

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Solution

The fourth proportional to 11,615.74, 17,424.26 and 3,718.95 is: 5,578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.74 : 17,424.26 = 3,718.95 : x
  2. Step 2: Convert to fraction form
    11,615.74/17,424.26 = 3,718.95/x
  3. Step 3: Cross multiply
    11,615.74x = 17,424.26 × 3,718.95
  4. Step 4: Simplify right side
    11,615.74x = 64,799,951.73
  5. Step 5: Solve for x
    x = 64,799,951.73/11,615.74
  6. Step 6: Final answer
    x = 5,578.63

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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.