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Finding the Fourth Proportional to 10,309.43, 15,451.50 and 5,905.46

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Solution

The fourth proportional to 10,309.43, 15,451.50 and 5,905.46 is: 8,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.43 : 15,451.50 = 5,905.46 : x
  2. Step 2: Convert to fraction form
    10,309.43/15,451.50 = 5,905.46/x
  3. Step 3: Cross multiply
    10,309.43x = 15,451.50 × 5,905.46
  4. Step 4: Simplify right side
    10,309.43x = 91,248,215.19
  5. Step 5: Solve for x
    x = 91,248,215.19/10,309.43
  6. Step 6: Final answer
    x = 8,850.95

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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.