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Finding the Fourth Proportional to 11,578.09, 17,348.67 and 7,414.67

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Solution

The fourth proportional to 11,578.09, 17,348.67 and 7,414.67 is: 11,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.09 : 17,348.67 = 7,414.67 : x
  2. Step 2: Convert to fraction form
    11,578.09/17,348.67 = 7,414.67/x
  3. Step 3: Cross multiply
    11,578.09x = 17,348.67 × 7,414.67
  4. Step 4: Simplify right side
    11,578.09x = 128,634,669.11
  5. Step 5: Solve for x
    x = 128,634,669.11/11,578.09
  6. Step 6: Final answer
    x = 11,110.18

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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.