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Finding the Fourth Proportional to 11,148, 16,729.68 and 3,852

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Solution

The fourth proportional to 11,148, 16,729.68 and 3,852 is: 5,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,148 : 16,729.68 = 3,852 : x
  2. Step 2: Convert to fraction form
    11,148/16,729.68 = 3,852/x
  3. Step 3: Cross multiply
    11,148x = 16,729.68 × 3,852
  4. Step 4: Simplify right side
    11,148x = 64,442,727.36
  5. Step 5: Solve for x
    x = 64,442,727.36/11,148
  6. Step 6: Final answer
    x = 5,780.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.