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Finding the Fourth Proportional to 11,680.40, 17,507.46 and 7,685.48

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Solution

The fourth proportional to 11,680.40, 17,507.46 and 7,685.48 is: 11,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.40 : 17,507.46 = 7,685.48 : x
  2. Step 2: Convert to fraction form
    11,680.40/17,507.46 = 7,685.48/x
  3. Step 3: Cross multiply
    11,680.40x = 17,507.46 × 7,685.48
  4. Step 4: Simplify right side
    11,680.40x = 134,553,233.68
  5. Step 5: Solve for x
    x = 134,553,233.68/11,680.40
  6. Step 6: Final answer
    x = 11,519.57

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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.