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Finding the Fourth Proportional to 10,665.64, 16,009.73 and 5,989.64

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Solution

The fourth proportional to 10,665.64, 16,009.73 and 5,989.64 is: 8,990.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.64 : 16,009.73 = 5,989.64 : x
  2. Step 2: Convert to fraction form
    10,665.64/16,009.73 = 5,989.64/x
  3. Step 3: Cross multiply
    10,665.64x = 16,009.73 × 5,989.64
  4. Step 4: Simplify right side
    10,665.64x = 95,892,489.25
  5. Step 5: Solve for x
    x = 95,892,489.25/10,665.64
  6. Step 6: Final answer
    x = 8,990.79

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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.