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Finding the Fourth Proportional to 11,591.21, 17,386.82 and 3,800.63

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Solution

The fourth proportional to 11,591.21, 17,386.82 and 3,800.63 is: 5,700.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.21 : 17,386.82 = 3,800.63 : x
  2. Step 2: Convert to fraction form
    11,591.21/17,386.82 = 3,800.63/x
  3. Step 3: Cross multiply
    11,591.21x = 17,386.82 × 3,800.63
  4. Step 4: Simplify right side
    11,591.21x = 66,080,763.76
  5. Step 5: Solve for x
    x = 66,080,763.76/11,591.21
  6. Step 6: Final answer
    x = 5,700.94

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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.