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Finding the Fourth Proportional to 11,567.64, 17,340.41 and 5,331.86

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Solution

The fourth proportional to 11,567.64, 17,340.41 and 5,331.86 is: 7,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.64 : 17,340.41 = 5,331.86 : x
  2. Step 2: Convert to fraction form
    11,567.64/17,340.41 = 5,331.86/x
  3. Step 3: Cross multiply
    11,567.64x = 17,340.41 × 5,331.86
  4. Step 4: Simplify right side
    11,567.64x = 92,456,525.10
  5. Step 5: Solve for x
    x = 92,456,525.10/11,567.64
  6. Step 6: Final answer
    x = 7,992.69

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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.