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Finding the Fourth Proportional to 11,851.08, 16,354.74 and 6,546.48

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Solution

The fourth proportional to 11,851.08, 16,354.74 and 6,546.48 is: 9,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.08 : 16,354.74 = 6,546.48 : x
  2. Step 2: Convert to fraction form
    11,851.08/16,354.74 = 6,546.48/x
  3. Step 3: Cross multiply
    11,851.08x = 16,354.74 × 6,546.48
  4. Step 4: Simplify right side
    11,851.08x = 107,065,978.32
  5. Step 5: Solve for x
    x = 107,065,978.32/11,851.08
  6. Step 6: Final answer
    x = 9,034.28

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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.