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Finding the Fourth Proportional to 11,891.48, 16,383.80 and 7,851.13

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Solution

The fourth proportional to 11,891.48, 16,383.80 and 7,851.13 is: 10,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.48 : 16,383.80 = 7,851.13 : x
  2. Step 2: Convert to fraction form
    11,891.48/16,383.80 = 7,851.13/x
  3. Step 3: Cross multiply
    11,891.48x = 16,383.80 × 7,851.13
  4. Step 4: Simplify right side
    11,891.48x = 128,631,322.36
  5. Step 5: Solve for x
    x = 128,631,322.36/11,891.48
  6. Step 6: Final answer
    x = 10,817.10

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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.