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Finding the Fourth Proportional to 7,801.17, 11,696.68 and 3,635.47

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Solution

The fourth proportional to 7,801.17, 11,696.68 and 3,635.47 is: 5,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.17 : 11,696.68 = 3,635.47 : x
  2. Step 2: Convert to fraction form
    7,801.17/11,696.68 = 3,635.47/x
  3. Step 3: Cross multiply
    7,801.17x = 11,696.68 × 3,635.47
  4. Step 4: Simplify right side
    7,801.17x = 42,522,929.24
  5. Step 5: Solve for x
    x = 42,522,929.24/7,801.17
  6. Step 6: Final answer
    x = 5,450.84

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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.