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Finding the Fourth Proportional to 10,705.50, 16,057.71 and 3,309.39

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Solution

The fourth proportional to 10,705.50, 16,057.71 and 3,309.39 is: 4,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.50 : 16,057.71 = 3,309.39 : x
  2. Step 2: Convert to fraction form
    10,705.50/16,057.71 = 3,309.39/x
  3. Step 3: Cross multiply
    10,705.50x = 16,057.71 × 3,309.39
  4. Step 4: Simplify right side
    10,705.50x = 53,141,224.90
  5. Step 5: Solve for x
    x = 53,141,224.90/10,705.50
  6. Step 6: Final answer
    x = 4,963.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.