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Finding the Fourth Proportional to 11,591.76, 17,364.96 and 5,730.60

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Solution

The fourth proportional to 11,591.76, 17,364.96 and 5,730.60 is: 8,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.76 : 17,364.96 = 5,730.60 : x
  2. Step 2: Convert to fraction form
    11,591.76/17,364.96 = 5,730.60/x
  3. Step 3: Cross multiply
    11,591.76x = 17,364.96 × 5,730.60
  4. Step 4: Simplify right side
    11,591.76x = 99,511,639.78
  5. Step 5: Solve for x
    x = 99,511,639.78/11,591.76
  6. Step 6: Final answer
    x = 8,584.69

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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.