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Finding the Fourth Proportional to 11,643.57, 16,086.92 and 8,122.50

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Solution

The fourth proportional to 11,643.57, 16,086.92 and 8,122.50 is: 11,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.57 : 16,086.92 = 8,122.50 : x
  2. Step 2: Convert to fraction form
    11,643.57/16,086.92 = 8,122.50/x
  3. Step 3: Cross multiply
    11,643.57x = 16,086.92 × 8,122.50
  4. Step 4: Simplify right side
    11,643.57x = 130,665,967.09
  5. Step 5: Solve for x
    x = 130,665,967.09/11,643.57
  6. Step 6: Final answer
    x = 11,222.16

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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.