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Finding the Fourth Proportional to 11,651.75, 16,065.49 and 9,519.42

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Solution

The fourth proportional to 11,651.75, 16,065.49 and 9,519.42 is: 13,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.75 : 16,065.49 = 9,519.42 : x
  2. Step 2: Convert to fraction form
    11,651.75/16,065.49 = 9,519.42/x
  3. Step 3: Cross multiply
    11,651.75x = 16,065.49 × 9,519.42
  4. Step 4: Simplify right side
    11,651.75x = 152,934,146.82
  5. Step 5: Solve for x
    x = 152,934,146.82/11,651.75
  6. Step 6: Final answer
    x = 13,125.42

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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.