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Finding the Fourth Proportional to 10,885.72, 16,323.72 and 5,044

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Solution

The fourth proportional to 10,885.72, 16,323.72 and 5,044 is: 7,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.72 : 16,323.72 = 5,044 : x
  2. Step 2: Convert to fraction form
    10,885.72/16,323.72 = 5,044/x
  3. Step 3: Cross multiply
    10,885.72x = 16,323.72 × 5,044
  4. Step 4: Simplify right side
    10,885.72x = 82,336,843.68
  5. Step 5: Solve for x
    x = 82,336,843.68/10,885.72
  6. Step 6: Final answer
    x = 7,563.75

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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.