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Finding the Fourth Proportional to 11,391.69, 15,720.02 and 8,406.44

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Solution

The fourth proportional to 11,391.69, 15,720.02 and 8,406.44 is: 11,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.69 : 15,720.02 = 8,406.44 : x
  2. Step 2: Convert to fraction form
    11,391.69/15,720.02 = 8,406.44/x
  3. Step 3: Cross multiply
    11,391.69x = 15,720.02 × 8,406.44
  4. Step 4: Simplify right side
    11,391.69x = 132,149,284.30
  5. Step 5: Solve for x
    x = 132,149,284.30/11,391.69
  6. Step 6: Final answer
    x = 11,600.50

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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.