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Finding the Fourth Proportional to 11,648.30, 16,074.09 and 6,343.08

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Solution

The fourth proportional to 11,648.30, 16,074.09 and 6,343.08 is: 8,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.30 : 16,074.09 = 6,343.08 : x
  2. Step 2: Convert to fraction form
    11,648.30/16,074.09 = 6,343.08/x
  3. Step 3: Cross multiply
    11,648.30x = 16,074.09 × 6,343.08
  4. Step 4: Simplify right side
    11,648.30x = 101,959,238.80
  5. Step 5: Solve for x
    x = 101,959,238.80/11,648.30
  6. Step 6: Final answer
    x = 8,753.15

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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.