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Finding the Fourth Proportional to 8,494.36, 11,723.62 and 4,957.56

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Solution

The fourth proportional to 8,494.36, 11,723.62 and 4,957.56 is: 6,842.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.36 : 11,723.62 = 4,957.56 : x
  2. Step 2: Convert to fraction form
    8,494.36/11,723.62 = 4,957.56/x
  3. Step 3: Cross multiply
    8,494.36x = 11,723.62 × 4,957.56
  4. Step 4: Simplify right side
    8,494.36x = 58,120,549.57
  5. Step 5: Solve for x
    x = 58,120,549.57/8,494.36
  6. Step 6: Final answer
    x = 6,842.25

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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.