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Finding the Fourth Proportional to 8,535.66, 11,772.99 and 6,523.62

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Solution

The fourth proportional to 8,535.66, 11,772.99 and 6,523.62 is: 8,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.66 : 11,772.99 = 6,523.62 : x
  2. Step 2: Convert to fraction form
    8,535.66/11,772.99 = 6,523.62/x
  3. Step 3: Cross multiply
    8,535.66x = 11,772.99 × 6,523.62
  4. Step 4: Simplify right side
    8,535.66x = 76,802,513.02
  5. Step 5: Solve for x
    x = 76,802,513.02/8,535.66
  6. Step 6: Final answer
    x = 8,997.84

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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.