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Finding the Fourth Proportional to 11,666.38, 17,501.33 and 3,766.25

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Solution

The fourth proportional to 11,666.38, 17,501.33 and 3,766.25 is: 5,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.38 : 17,501.33 = 3,766.25 : x
  2. Step 2: Convert to fraction form
    11,666.38/17,501.33 = 3,766.25/x
  3. Step 3: Cross multiply
    11,666.38x = 17,501.33 × 3,766.25
  4. Step 4: Simplify right side
    11,666.38x = 65,914,384.11
  5. Step 5: Solve for x
    x = 65,914,384.11/11,666.38
  6. Step 6: Final answer
    x = 5,649.94

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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.