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Finding the Fourth Proportional to 11,851.68, 16,355.04 and 6,546.08

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Solution

The fourth proportional to 11,851.68, 16,355.04 and 6,546.08 is: 9,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.68 : 16,355.04 = 6,546.08 : x
  2. Step 2: Convert to fraction form
    11,851.68/16,355.04 = 6,546.08/x
  3. Step 3: Cross multiply
    11,851.68x = 16,355.04 × 6,546.08
  4. Step 4: Simplify right side
    11,851.68x = 107,061,400.24
  5. Step 5: Solve for x
    x = 107,061,400.24/11,851.68
  6. Step 6: Final answer
    x = 9,033.44

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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.