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Finding the Fourth Proportional to 10,744.94, 16,102.28 and 8,543.90

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Solution

The fourth proportional to 10,744.94, 16,102.28 and 8,543.90 is: 12,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.94 : 16,102.28 = 8,543.90 : x
  2. Step 2: Convert to fraction form
    10,744.94/16,102.28 = 8,543.90/x
  3. Step 3: Cross multiply
    10,744.94x = 16,102.28 × 8,543.90
  4. Step 4: Simplify right side
    10,744.94x = 137,576,270.09
  5. Step 5: Solve for x
    x = 137,576,270.09/10,744.94
  6. Step 6: Final answer
    x = 12,803.82

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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.