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Finding the Fourth Proportional to 11,410.80, 17,114.04 and 4,837.20

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Solution

The fourth proportional to 11,410.80, 17,114.04 and 4,837.20 is: 7,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.80 : 17,114.04 = 4,837.20 : x
  2. Step 2: Convert to fraction form
    11,410.80/17,114.04 = 4,837.20/x
  3. Step 3: Cross multiply
    11,410.80x = 17,114.04 × 4,837.20
  4. Step 4: Simplify right side
    11,410.80x = 82,784,034.29
  5. Step 5: Solve for x
    x = 82,784,034.29/11,410.80
  6. Step 6: Final answer
    x = 7,254.88

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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.