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Finding the Fourth Proportional to 11,385, 17,080.02 and 4,816.80

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Solution

The fourth proportional to 11,385, 17,080.02 and 4,816.80 is: 7,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385 : 17,080.02 = 4,816.80 : x
  2. Step 2: Convert to fraction form
    11,385/17,080.02 = 4,816.80/x
  3. Step 3: Cross multiply
    11,385x = 17,080.02 × 4,816.80
  4. Step 4: Simplify right side
    11,385x = 82,271,040.34
  5. Step 5: Solve for x
    x = 82,271,040.34/11,385
  6. Step 6: Final answer
    x = 7,226.27

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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.