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Finding the Fourth Proportional to 10,470.75, 14,449.64 and 5,755.34

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Solution

The fourth proportional to 10,470.75, 14,449.64 and 5,755.34 is: 7,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.75 : 14,449.64 = 5,755.34 : x
  2. Step 2: Convert to fraction form
    10,470.75/14,449.64 = 5,755.34/x
  3. Step 3: Cross multiply
    10,470.75x = 14,449.64 × 5,755.34
  4. Step 4: Simplify right side
    10,470.75x = 83,162,490.05
  5. Step 5: Solve for x
    x = 83,162,490.05/10,470.75
  6. Step 6: Final answer
    x = 7,942.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.