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Finding the Fourth Proportional to 7,696.97, 11,546.66 and 2,501.63

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Solution

The fourth proportional to 7,696.97, 11,546.66 and 2,501.63 is: 3,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.97 : 11,546.66 = 2,501.63 : x
  2. Step 2: Convert to fraction form
    7,696.97/11,546.66 = 2,501.63/x
  3. Step 3: Cross multiply
    7,696.97x = 11,546.66 × 2,501.63
  4. Step 4: Simplify right side
    7,696.97x = 28,885,419.58
  5. Step 5: Solve for x
    x = 28,885,419.58/7,696.97
  6. Step 6: Final answer
    x = 3,752.83

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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.