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Finding the Fourth Proportional to 8,723.62, 12,042.57 and 5,739.58

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Solution

The fourth proportional to 8,723.62, 12,042.57 and 5,739.58 is: 7,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.62 : 12,042.57 = 5,739.58 : x
  2. Step 2: Convert to fraction form
    8,723.62/12,042.57 = 5,739.58/x
  3. Step 3: Cross multiply
    8,723.62x = 12,042.57 × 5,739.58
  4. Step 4: Simplify right side
    8,723.62x = 69,119,293.92
  5. Step 5: Solve for x
    x = 69,119,293.92/8,723.62
  6. Step 6: Final answer
    x = 7,923.24

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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.