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Finding the Fourth Proportional to 10,194.74, 15,287.99 and 3,172.42

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Solution

The fourth proportional to 10,194.74, 15,287.99 and 3,172.42 is: 4,757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.74 : 15,287.99 = 3,172.42 : x
  2. Step 2: Convert to fraction form
    10,194.74/15,287.99 = 3,172.42/x
  3. Step 3: Cross multiply
    10,194.74x = 15,287.99 × 3,172.42
  4. Step 4: Simplify right side
    10,194.74x = 48,499,894.95
  5. Step 5: Solve for x
    x = 48,499,894.95/10,194.74
  6. Step 6: Final answer
    x = 4,757.35

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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.