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Finding the Fourth Proportional to 10,873.44, 16,306.32 and 5,173.74

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Solution

The fourth proportional to 10,873.44, 16,306.32 and 5,173.74 is: 7,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.44 : 16,306.32 = 5,173.74 : x
  2. Step 2: Convert to fraction form
    10,873.44/16,306.32 = 5,173.74/x
  3. Step 3: Cross multiply
    10,873.44x = 16,306.32 × 5,173.74
  4. Step 4: Simplify right side
    10,873.44x = 84,364,660.04
  5. Step 5: Solve for x
    x = 84,364,660.04/10,873.44
  6. Step 6: Final answer
    x = 7,758.78

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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.