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Finding the Fourth Proportional to 11,948.93, 16,489.31 and 6,643.63

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Solution

The fourth proportional to 11,948.93, 16,489.31 and 6,643.63 is: 9,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.93 : 16,489.31 = 6,643.63 : x
  2. Step 2: Convert to fraction form
    11,948.93/16,489.31 = 6,643.63/x
  3. Step 3: Cross multiply
    11,948.93x = 16,489.31 × 6,643.63
  4. Step 4: Simplify right side
    11,948.93x = 109,548,874.60
  5. Step 5: Solve for x
    x = 109,548,874.60/11,948.93
  6. Step 6: Final answer
    x = 9,168.09

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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.