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Finding the Fourth Proportional to 7,430.73, 10,253.82 and 4,286.31

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Solution

The fourth proportional to 7,430.73, 10,253.82 and 4,286.31 is: 5,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430.73 : 10,253.82 = 4,286.31 : x
  2. Step 2: Convert to fraction form
    7,430.73/10,253.82 = 4,286.31/x
  3. Step 3: Cross multiply
    7,430.73x = 10,253.82 × 4,286.31
  4. Step 4: Simplify right side
    7,430.73x = 43,951,051.20
  5. Step 5: Solve for x
    x = 43,951,051.20/7,430.73
  6. Step 6: Final answer
    x = 5,914.77

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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.