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Finding the Fourth Proportional to 10,774.69, 16,162.03 and 2,983.50

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Solution

The fourth proportional to 10,774.69, 16,162.03 and 2,983.50 is: 4,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.69 : 16,162.03 = 2,983.50 : x
  2. Step 2: Convert to fraction form
    10,774.69/16,162.03 = 2,983.50/x
  3. Step 3: Cross multiply
    10,774.69x = 16,162.03 × 2,983.50
  4. Step 4: Simplify right side
    10,774.69x = 48,219,403.76
  5. Step 5: Solve for x
    x = 48,219,403.76/10,774.69
  6. Step 6: Final answer
    x = 4,475.25

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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.