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Finding the Fourth Proportional to 10,943.50, 16,415.25 and 2,735.50

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Solution

The fourth proportional to 10,943.50, 16,415.25 and 2,735.50 is: 4,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.50 : 16,415.25 = 2,735.50 : x
  2. Step 2: Convert to fraction form
    10,943.50/16,415.25 = 2,735.50/x
  3. Step 3: Cross multiply
    10,943.50x = 16,415.25 × 2,735.50
  4. Step 4: Simplify right side
    10,943.50x = 44,903,916.38
  5. Step 5: Solve for x
    x = 44,903,916.38/10,943.50
  6. Step 6: Final answer
    x = 4,103.25

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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.