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Finding the Fourth Proportional to 10,734.82, 14,819.61 and 8,339.42

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Solution

The fourth proportional to 10,734.82, 14,819.61 and 8,339.42 is: 11,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.82 : 14,819.61 = 8,339.42 : x
  2. Step 2: Convert to fraction form
    10,734.82/14,819.61 = 8,339.42/x
  3. Step 3: Cross multiply
    10,734.82x = 14,819.61 × 8,339.42
  4. Step 4: Simplify right side
    10,734.82x = 123,586,952.03
  5. Step 5: Solve for x
    x = 123,586,952.03/10,734.82
  6. Step 6: Final answer
    x = 11,512.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.