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Finding the Fourth Proportional to 7,394.49, 11,093.52 and 2,464.17

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Solution

The fourth proportional to 7,394.49, 11,093.52 and 2,464.17 is: 3,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.49 : 11,093.52 = 2,464.17 : x
  2. Step 2: Convert to fraction form
    7,394.49/11,093.52 = 2,464.17/x
  3. Step 3: Cross multiply
    7,394.49x = 11,093.52 × 2,464.17
  4. Step 4: Simplify right side
    7,394.49x = 27,336,319.18
  5. Step 5: Solve for x
    x = 27,336,319.18/7,394.49
  6. Step 6: Final answer
    x = 3,696.85

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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.