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Finding the Fourth Proportional to 11,685.42, 16,126.09 and 6,649.11

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Solution

The fourth proportional to 11,685.42, 16,126.09 and 6,649.11 is: 9,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.42 : 16,126.09 = 6,649.11 : x
  2. Step 2: Convert to fraction form
    11,685.42/16,126.09 = 6,649.11/x
  3. Step 3: Cross multiply
    11,685.42x = 16,126.09 × 6,649.11
  4. Step 4: Simplify right side
    11,685.42x = 107,224,129.66
  5. Step 5: Solve for x
    x = 107,224,129.66/11,685.42
  6. Step 6: Final answer
    x = 9,175.89

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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.