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Finding the Fourth Proportional to 11,780.41, 17,668.79 and 7,649.71

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Solution

The fourth proportional to 11,780.41, 17,668.79 and 7,649.71 is: 11,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.41 : 17,668.79 = 7,649.71 : x
  2. Step 2: Convert to fraction form
    11,780.41/17,668.79 = 7,649.71/x
  3. Step 3: Cross multiply
    11,780.41x = 17,668.79 × 7,649.71
  4. Step 4: Simplify right side
    11,780.41x = 135,161,132.07
  5. Step 5: Solve for x
    x = 135,161,132.07/11,780.41
  6. Step 6: Final answer
    x = 11,473.38

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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.