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Finding the Fourth Proportional to 11,782.40, 17,668.94 and 4,761.09

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Solution

The fourth proportional to 11,782.40, 17,668.94 and 4,761.09 is: 7,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.40 : 17,668.94 = 4,761.09 : x
  2. Step 2: Convert to fraction form
    11,782.40/17,668.94 = 4,761.09/x
  3. Step 3: Cross multiply
    11,782.40x = 17,668.94 × 4,761.09
  4. Step 4: Simplify right side
    11,782.40x = 84,123,337.10
  5. Step 5: Solve for x
    x = 84,123,337.10/11,782.40
  6. Step 6: Final answer
    x = 7,139.75

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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.