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Finding the Fourth Proportional to 11,532.60, 17,299.44 and 4,137.84

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Solution

The fourth proportional to 11,532.60, 17,299.44 and 4,137.84 is: 6,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.60 : 17,299.44 = 4,137.84 : x
  2. Step 2: Convert to fraction form
    11,532.60/17,299.44 = 4,137.84/x
  3. Step 3: Cross multiply
    11,532.60x = 17,299.44 × 4,137.84
  4. Step 4: Simplify right side
    11,532.60x = 71,582,314.81
  5. Step 5: Solve for x
    x = 71,582,314.81/11,532.60
  6. Step 6: Final answer
    x = 6,206.95

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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.