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Finding the Fourth Proportional to 11,649.71, 17,478.51 and 5,080.20

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Solution

The fourth proportional to 11,649.71, 17,478.51 and 5,080.20 is: 7,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.71 : 17,478.51 = 5,080.20 : x
  2. Step 2: Convert to fraction form
    11,649.71/17,478.51 = 5,080.20/x
  3. Step 3: Cross multiply
    11,649.71x = 17,478.51 × 5,080.20
  4. Step 4: Simplify right side
    11,649.71x = 88,794,326.50
  5. Step 5: Solve for x
    x = 88,794,326.50/11,649.71
  6. Step 6: Final answer
    x = 7,622.02

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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.