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Finding the Fourth Proportional to 11,660.34, 17,493.11 and 4,264.64

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Solution

The fourth proportional to 11,660.34, 17,493.11 and 4,264.64 is: 6,397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.34 : 17,493.11 = 4,264.64 : x
  2. Step 2: Convert to fraction form
    11,660.34/17,493.11 = 4,264.64/x
  3. Step 3: Cross multiply
    11,660.34x = 17,493.11 × 4,264.64
  4. Step 4: Simplify right side
    11,660.34x = 74,601,816.63
  5. Step 5: Solve for x
    x = 74,601,816.63/11,660.34
  6. Step 6: Final answer
    x = 6,397.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.