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Finding the Fourth Proportional to 11,518, 17,273.32 and 4,496.30

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Solution

The fourth proportional to 11,518, 17,273.32 and 4,496.30 is: 6,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518 : 17,273.32 = 4,496.30 : x
  2. Step 2: Convert to fraction form
    11,518/17,273.32 = 4,496.30/x
  3. Step 3: Cross multiply
    11,518x = 17,273.32 × 4,496.30
  4. Step 4: Simplify right side
    11,518x = 77,666,028.72
  5. Step 5: Solve for x
    x = 77,666,028.72/11,518
  6. Step 6: Final answer
    x = 6,743.01

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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.