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Finding the Fourth Proportional to 10,643.68, 15,965.49 and 4,793.44

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Solution

The fourth proportional to 10,643.68, 15,965.49 and 4,793.44 is: 7,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.68 : 15,965.49 = 4,793.44 : x
  2. Step 2: Convert to fraction form
    10,643.68/15,965.49 = 4,793.44/x
  3. Step 3: Cross multiply
    10,643.68x = 15,965.49 × 4,793.44
  4. Step 4: Simplify right side
    10,643.68x = 76,529,618.39
  5. Step 5: Solve for x
    x = 76,529,618.39/10,643.68
  6. Step 6: Final answer
    x = 7,190.15

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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.