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Finding the Fourth Proportional to 11,996, 16,554.48 and 7,028

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Solution

The fourth proportional to 11,996, 16,554.48 and 7,028 is: 9,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996 : 16,554.48 = 7,028 : x
  2. Step 2: Convert to fraction form
    11,996/16,554.48 = 7,028/x
  3. Step 3: Cross multiply
    11,996x = 16,554.48 × 7,028
  4. Step 4: Simplify right side
    11,996x = 116,344,885.44
  5. Step 5: Solve for x
    x = 116,344,885.44/11,996
  6. Step 6: Final answer
    x = 9,698.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.