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Finding the Fourth Proportional to 11,796.68, 17,705.96 and 5,957.40

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Solution

The fourth proportional to 11,796.68, 17,705.96 and 5,957.40 is: 8,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.68 : 17,705.96 = 5,957.40 : x
  2. Step 2: Convert to fraction form
    11,796.68/17,705.96 = 5,957.40/x
  3. Step 3: Cross multiply
    11,796.68x = 17,705.96 × 5,957.40
  4. Step 4: Simplify right side
    11,796.68x = 105,481,486.10
  5. Step 5: Solve for x
    x = 105,481,486.10/11,796.68
  6. Step 6: Final answer
    x = 8,941.62

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Why These Related Problems?

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