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Finding the Fourth Proportional to 7,627.41, 11,443.14 and 2,696.40

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Solution

The fourth proportional to 7,627.41, 11,443.14 and 2,696.40 is: 4,045.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.41 : 11,443.14 = 2,696.40 : x
  2. Step 2: Convert to fraction form
    7,627.41/11,443.14 = 2,696.40/x
  3. Step 3: Cross multiply
    7,627.41x = 11,443.14 × 2,696.40
  4. Step 4: Simplify right side
    7,627.41x = 30,855,282.70
  5. Step 5: Solve for x
    x = 30,855,282.70/7,627.41
  6. Step 6: Final answer
    x = 4,045.32

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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.