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Finding the Fourth Proportional to 11,400.69, 17,106.45 and 7,896.09

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Solution

The fourth proportional to 11,400.69, 17,106.45 and 7,896.09 is: 11,847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.69 : 17,106.45 = 7,896.09 : x
  2. Step 2: Convert to fraction form
    11,400.69/17,106.45 = 7,896.09/x
  3. Step 3: Cross multiply
    11,400.69x = 17,106.45 × 7,896.09
  4. Step 4: Simplify right side
    11,400.69x = 135,074,068.78
  5. Step 5: Solve for x
    x = 135,074,068.78/11,400.69
  6. Step 6: Final answer
    x = 11,847.89

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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.