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Finding the Fourth Proportional to 10,802, 16,204.62 and 4,955.42

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Solution

The fourth proportional to 10,802, 16,204.62 and 4,955.42 is: 7,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802 : 16,204.62 = 4,955.42 : x
  2. Step 2: Convert to fraction form
    10,802/16,204.62 = 4,955.42/x
  3. Step 3: Cross multiply
    10,802x = 16,204.62 × 4,955.42
  4. Step 4: Simplify right side
    10,802x = 80,300,698.04
  5. Step 5: Solve for x
    x = 80,300,698.04/10,802
  6. Step 6: Final answer
    x = 7,433.87

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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.