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Finding the Fourth Proportional to 11,812.59, 17,684.33 and 7,164.27

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Solution

The fourth proportional to 11,812.59, 17,684.33 and 7,164.27 is: 10,725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.59 : 17,684.33 = 7,164.27 : x
  2. Step 2: Convert to fraction form
    11,812.59/17,684.33 = 7,164.27/x
  3. Step 3: Cross multiply
    11,812.59x = 17,684.33 × 7,164.27
  4. Step 4: Simplify right side
    11,812.59x = 126,695,279.07
  5. Step 5: Solve for x
    x = 126,695,279.07/11,812.59
  6. Step 6: Final answer
    x = 10,725.44

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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.