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Finding the Fourth Proportional to 10,933, 16,402.28 and 3,141.82

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Solution

The fourth proportional to 10,933, 16,402.28 and 3,141.82 is: 4,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933 : 16,402.28 = 3,141.82 : x
  2. Step 2: Convert to fraction form
    10,933/16,402.28 = 3,141.82/x
  3. Step 3: Cross multiply
    10,933x = 16,402.28 × 3,141.82
  4. Step 4: Simplify right side
    10,933x = 51,532,995.64
  5. Step 5: Solve for x
    x = 51,532,995.64/10,933
  6. Step 6: Final answer
    x = 4,713.53

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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.