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Finding the Fourth Proportional to 10,727.64, 16,095.92 and 4,489.02

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Solution

The fourth proportional to 10,727.64, 16,095.92 and 4,489.02 is: 6,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.64 : 16,095.92 = 4,489.02 : x
  2. Step 2: Convert to fraction form
    10,727.64/16,095.92 = 4,489.02/x
  3. Step 3: Cross multiply
    10,727.64x = 16,095.92 × 4,489.02
  4. Step 4: Simplify right side
    10,727.64x = 72,254,884.35
  5. Step 5: Solve for x
    x = 72,254,884.35/10,727.64
  6. Step 6: Final answer
    x = 6,735.39

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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.