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Finding the Fourth Proportional to 7,447.14, 11,172.08 and 2,449.80

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Solution

The fourth proportional to 7,447.14, 11,172.08 and 2,449.80 is: 3,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.14 : 11,172.08 = 2,449.80 : x
  2. Step 2: Convert to fraction form
    7,447.14/11,172.08 = 2,449.80/x
  3. Step 3: Cross multiply
    7,447.14x = 11,172.08 × 2,449.80
  4. Step 4: Simplify right side
    7,447.14x = 27,369,367.71
  5. Step 5: Solve for x
    x = 27,369,367.71/7,447.14
  6. Step 6: Final answer
    x = 3,675.15

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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.