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Finding the Fourth Proportional to 11,762.90, 17,644.23 and 3,971.66

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Solution

The fourth proportional to 11,762.90, 17,644.23 and 3,971.66 is: 5,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.90 : 17,644.23 = 3,971.66 : x
  2. Step 2: Convert to fraction form
    11,762.90/17,644.23 = 3,971.66/x
  3. Step 3: Cross multiply
    11,762.90x = 17,644.23 × 3,971.66
  4. Step 4: Simplify right side
    11,762.90x = 70,076,882.52
  5. Step 5: Solve for x
    x = 70,076,882.52/11,762.90
  6. Step 6: Final answer
    x = 5,957.45

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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.