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Finding the Fourth Proportional to 11,709.73, 17,566.08 and 5,383.09

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Solution

The fourth proportional to 11,709.73, 17,566.08 and 5,383.09 is: 8,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.73 : 17,566.08 = 5,383.09 : x
  2. Step 2: Convert to fraction form
    11,709.73/17,566.08 = 5,383.09/x
  3. Step 3: Cross multiply
    11,709.73x = 17,566.08 × 5,383.09
  4. Step 4: Simplify right side
    11,709.73x = 94,559,789.59
  5. Step 5: Solve for x
    x = 94,559,789.59/11,709.73
  6. Step 6: Final answer
    x = 8,075.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.