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Finding the Fourth Proportional to 11,052.65, 16,578.99 and 9,100.75

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Solution

The fourth proportional to 11,052.65, 16,578.99 and 9,100.75 is: 13,651.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052.65 : 16,578.99 = 9,100.75 : x
  2. Step 2: Convert to fraction form
    11,052.65/16,578.99 = 9,100.75/x
  3. Step 3: Cross multiply
    11,052.65x = 16,578.99 × 9,100.75
  4. Step 4: Simplify right side
    11,052.65x = 150,881,201.80
  5. Step 5: Solve for x
    x = 150,881,201.80/11,052.65
  6. Step 6: Final answer
    x = 13,651.14

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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.