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Finding the Fourth Proportional to 11,885.26, 16,405.75 and 6,851.49

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Solution

The fourth proportional to 11,885.26, 16,405.75 and 6,851.49 is: 9,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.26 : 16,405.75 = 6,851.49 : x
  2. Step 2: Convert to fraction form
    11,885.26/16,405.75 = 6,851.49/x
  3. Step 3: Cross multiply
    11,885.26x = 16,405.75 × 6,851.49
  4. Step 4: Simplify right side
    11,885.26x = 112,403,832.07
  5. Step 5: Solve for x
    x = 112,403,832.07/11,885.26
  6. Step 6: Final answer
    x = 9,457.41

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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.