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Finding the Fourth Proportional to 10,309.92, 15,459 and 3,288.56

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Solution

The fourth proportional to 10,309.92, 15,459 and 3,288.56 is: 4,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.92 : 15,459 = 3,288.56 : x
  2. Step 2: Convert to fraction form
    10,309.92/15,459 = 3,288.56/x
  3. Step 3: Cross multiply
    10,309.92x = 15,459 × 3,288.56
  4. Step 4: Simplify right side
    10,309.92x = 50,837,849.04
  5. Step 5: Solve for x
    x = 50,837,849.04/10,309.92
  6. Step 6: Final answer
    x = 4,930.96

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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.