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Finding the Fourth Proportional to 7,804.96, 10,765.92 and 5,446.24

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Solution

The fourth proportional to 7,804.96, 10,765.92 and 5,446.24 is: 7,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.96 : 10,765.92 = 5,446.24 : x
  2. Step 2: Convert to fraction form
    7,804.96/10,765.92 = 5,446.24/x
  3. Step 3: Cross multiply
    7,804.96x = 10,765.92 × 5,446.24
  4. Step 4: Simplify right side
    7,804.96x = 58,633,784.14
  5. Step 5: Solve for x
    x = 58,633,784.14/7,804.96
  6. Step 6: Final answer
    x = 7,512.37

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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.