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Finding the Fourth Proportional to 10,774.76, 16,162.14 and 2,983.64

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Solution

The fourth proportional to 10,774.76, 16,162.14 and 2,983.64 is: 4,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.76 : 16,162.14 = 2,983.64 : x
  2. Step 2: Convert to fraction form
    10,774.76/16,162.14 = 2,983.64/x
  3. Step 3: Cross multiply
    10,774.76x = 16,162.14 × 2,983.64
  4. Step 4: Simplify right side
    10,774.76x = 48,222,007.39
  5. Step 5: Solve for x
    x = 48,222,007.39/10,774.76
  6. Step 6: Final answer
    x = 4,475.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.