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Finding the Fourth Proportional to 10,774.50, 16,162.70 and 2,983.38

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Solution

The fourth proportional to 10,774.50, 16,162.70 and 2,983.38 is: 4,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.50 : 16,162.70 = 2,983.38 : x
  2. Step 2: Convert to fraction form
    10,774.50/16,162.70 = 2,983.38/x
  3. Step 3: Cross multiply
    10,774.50x = 16,162.70 × 2,983.38
  4. Step 4: Simplify right side
    10,774.50x = 48,219,461.01
  5. Step 5: Solve for x
    x = 48,219,461.01/10,774.50
  6. Step 6: Final answer
    x = 4,475.33

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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.