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Finding the Fourth Proportional to 11,384.80, 17,048.40 and 8,447.20

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Solution

The fourth proportional to 11,384.80, 17,048.40 and 8,447.20 is: 12,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.80 : 17,048.40 = 8,447.20 : x
  2. Step 2: Convert to fraction form
    11,384.80/17,048.40 = 8,447.20/x
  3. Step 3: Cross multiply
    11,384.80x = 17,048.40 × 8,447.20
  4. Step 4: Simplify right side
    11,384.80x = 144,011,244.48
  5. Step 5: Solve for x
    x = 144,011,244.48/11,384.80
  6. Step 6: Final answer
    x = 12,649.43

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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.