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Finding the Fourth Proportional to 7,468.34, 11,194.92 and 4,696.97

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Solution

The fourth proportional to 7,468.34, 11,194.92 and 4,696.97 is: 7,040.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.34 : 11,194.92 = 4,696.97 : x
  2. Step 2: Convert to fraction form
    7,468.34/11,194.92 = 4,696.97/x
  3. Step 3: Cross multiply
    7,468.34x = 11,194.92 × 4,696.97
  4. Step 4: Simplify right side
    7,468.34x = 52,582,147.42
  5. Step 5: Solve for x
    x = 52,582,147.42/7,468.34
  6. Step 6: Final answer
    x = 7,040.68

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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.