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Finding the Fourth Proportional to 8,597.54, 11,861.94 and 5,414.04

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Solution

The fourth proportional to 8,597.54, 11,861.94 and 5,414.04 is: 7,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.54 : 11,861.94 = 5,414.04 : x
  2. Step 2: Convert to fraction form
    8,597.54/11,861.94 = 5,414.04/x
  3. Step 3: Cross multiply
    8,597.54x = 11,861.94 × 5,414.04
  4. Step 4: Simplify right side
    8,597.54x = 64,221,037.94
  5. Step 5: Solve for x
    x = 64,221,037.94/8,597.54
  6. Step 6: Final answer
    x = 7,469.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.