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Finding the Fourth Proportional to 8,697.24, 11,996.85 and 7,685.70

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Solution

The fourth proportional to 8,697.24, 11,996.85 and 7,685.70 is: 10,601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.24 : 11,996.85 = 7,685.70 : x
  2. Step 2: Convert to fraction form
    8,697.24/11,996.85 = 7,685.70/x
  3. Step 3: Cross multiply
    8,697.24x = 11,996.85 × 7,685.70
  4. Step 4: Simplify right side
    8,697.24x = 92,204,219.74
  5. Step 5: Solve for x
    x = 92,204,219.74/8,697.24
  6. Step 6: Final answer
    x = 10,601.55

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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.