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Finding the Fourth Proportional to 10,945.69, 16,392.21 and 6,251.47

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Solution

The fourth proportional to 10,945.69, 16,392.21 and 6,251.47 is: 9,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.69 : 16,392.21 = 6,251.47 : x
  2. Step 2: Convert to fraction form
    10,945.69/16,392.21 = 6,251.47/x
  3. Step 3: Cross multiply
    10,945.69x = 16,392.21 × 6,251.47
  4. Step 4: Simplify right side
    10,945.69x = 102,475,409.05
  5. Step 5: Solve for x
    x = 102,475,409.05/10,945.69
  6. Step 6: Final answer
    x = 9,362.17

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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.