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Finding the Fourth Proportional to 11,480.98, 17,217.80 and 4,460.50

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Solution

The fourth proportional to 11,480.98, 17,217.80 and 4,460.50 is: 6,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.98 : 17,217.80 = 4,460.50 : x
  2. Step 2: Convert to fraction form
    11,480.98/17,217.80 = 4,460.50/x
  3. Step 3: Cross multiply
    11,480.98x = 17,217.80 × 4,460.50
  4. Step 4: Simplify right side
    11,480.98x = 76,799,996.90
  5. Step 5: Solve for x
    x = 76,799,996.90/11,480.98
  6. Step 6: Final answer
    x = 6,689.32

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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.