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Finding the Fourth Proportional to 10,471, 14,449.98 and 5,755.59

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Solution

The fourth proportional to 10,471, 14,449.98 and 5,755.59 is: 7,942.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471 : 14,449.98 = 5,755.59 : x
  2. Step 2: Convert to fraction form
    10,471/14,449.98 = 5,755.59/x
  3. Step 3: Cross multiply
    10,471x = 14,449.98 × 5,755.59
  4. Step 4: Simplify right side
    10,471x = 83,168,160.39
  5. Step 5: Solve for x
    x = 83,168,160.39/10,471
  6. Step 6: Final answer
    x = 7,942.71

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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.