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Finding the Fourth Proportional to 7,243.76, 10,858.32 and 2,864.30

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Solution

The fourth proportional to 7,243.76, 10,858.32 and 2,864.30 is: 4,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.76 : 10,858.32 = 2,864.30 : x
  2. Step 2: Convert to fraction form
    7,243.76/10,858.32 = 2,864.30/x
  3. Step 3: Cross multiply
    7,243.76x = 10,858.32 × 2,864.30
  4. Step 4: Simplify right side
    7,243.76x = 31,101,485.98
  5. Step 5: Solve for x
    x = 31,101,485.98/7,243.76
  6. Step 6: Final answer
    x = 4,293.56

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