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Finding the Fourth Proportional to 11,615.57, 16,028.33 and 6,578.78

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Solution

The fourth proportional to 11,615.57, 16,028.33 and 6,578.78 is: 9,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.57 : 16,028.33 = 6,578.78 : x
  2. Step 2: Convert to fraction form
    11,615.57/16,028.33 = 6,578.78/x
  3. Step 3: Cross multiply
    11,615.57x = 16,028.33 × 6,578.78
  4. Step 4: Simplify right side
    11,615.57x = 105,446,864.01
  5. Step 5: Solve for x
    x = 105,446,864.01/11,615.57
  6. Step 6: Final answer
    x = 9,078.07

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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.