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Finding the Fourth Proportional to 11,668.68, 16,083.46 and 8,261.28

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Solution

The fourth proportional to 11,668.68, 16,083.46 and 8,261.28 is: 11,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.68 : 16,083.46 = 8,261.28 : x
  2. Step 2: Convert to fraction form
    11,668.68/16,083.46 = 8,261.28/x
  3. Step 3: Cross multiply
    11,668.68x = 16,083.46 × 8,261.28
  4. Step 4: Simplify right side
    11,668.68x = 132,869,966.43
  5. Step 5: Solve for x
    x = 132,869,966.43/11,668.68
  6. Step 6: Final answer
    x = 11,386.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.