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Finding the Fourth Proportional to 10,470.63, 14,449.68 and 5,755.23

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Solution

The fourth proportional to 10,470.63, 14,449.68 and 5,755.23 is: 7,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.63 : 14,449.68 = 5,755.23 : x
  2. Step 2: Convert to fraction form
    10,470.63/14,449.68 = 5,755.23/x
  3. Step 3: Cross multiply
    10,470.63x = 14,449.68 × 5,755.23
  4. Step 4: Simplify right side
    10,470.63x = 83,161,231.83
  5. Step 5: Solve for x
    x = 83,161,231.83/10,470.63
  6. Step 6: Final answer
    x = 7,942.33

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