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Finding the Fourth Proportional to 11,953.64, 16,494.42 and 6,647.43

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Solution

The fourth proportional to 11,953.64, 16,494.42 and 6,647.43 is: 9,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.64 : 16,494.42 = 6,647.43 : x
  2. Step 2: Convert to fraction form
    11,953.64/16,494.42 = 6,647.43/x
  3. Step 3: Cross multiply
    11,953.64x = 16,494.42 × 6,647.43
  4. Step 4: Simplify right side
    11,953.64x = 109,645,502.34
  5. Step 5: Solve for x
    x = 109,645,502.34/11,953.64
  6. Step 6: Final answer
    x = 9,172.56

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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.