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Finding the Fourth Proportional to 11,470.98, 17,201.19 and 4,540.74

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Solution

The fourth proportional to 11,470.98, 17,201.19 and 4,540.74 is: 6,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.98 : 17,201.19 = 4,540.74 : x
  2. Step 2: Convert to fraction form
    11,470.98/17,201.19 = 4,540.74/x
  3. Step 3: Cross multiply
    11,470.98x = 17,201.19 × 4,540.74
  4. Step 4: Simplify right side
    11,470.98x = 78,106,131.48
  5. Step 5: Solve for x
    x = 78,106,131.48/11,470.98
  6. Step 6: Final answer
    x = 6,809.02

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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.