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Finding the Fourth Proportional to 11,967.75, 17,949.20 and 4,569.62

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Solution

The fourth proportional to 11,967.75, 17,949.20 and 4,569.62 is: 6,853.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.75 : 17,949.20 = 4,569.62 : x
  2. Step 2: Convert to fraction form
    11,967.75/17,949.20 = 4,569.62/x
  3. Step 3: Cross multiply
    11,967.75x = 17,949.20 × 4,569.62
  4. Step 4: Simplify right side
    11,967.75x = 82,020,910.71
  5. Step 5: Solve for x
    x = 82,020,910.71/11,967.75
  6. Step 6: Final answer
    x = 6,853.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.