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Finding the Fourth Proportional to 11,685.20, 17,507.85 and 6,424.62

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Solution

The fourth proportional to 11,685.20, 17,507.85 and 6,424.62 is: 9,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.20 : 17,507.85 = 6,424.62 : x
  2. Step 2: Convert to fraction form
    11,685.20/17,507.85 = 6,424.62/x
  3. Step 3: Cross multiply
    11,685.20x = 17,507.85 × 6,424.62
  4. Step 4: Simplify right side
    11,685.20x = 112,481,283.27
  5. Step 5: Solve for x
    x = 112,481,283.27/11,685.20
  6. Step 6: Final answer
    x = 9,625.96

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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.