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Finding the Fourth Proportional to 8,257.65, 11,397.26 and 4,902.32

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Solution

The fourth proportional to 8,257.65, 11,397.26 and 4,902.32 is: 6,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.65 : 11,397.26 = 4,902.32 : x
  2. Step 2: Convert to fraction form
    8,257.65/11,397.26 = 4,902.32/x
  3. Step 3: Cross multiply
    8,257.65x = 11,397.26 × 4,902.32
  4. Step 4: Simplify right side
    8,257.65x = 55,873,028.82
  5. Step 5: Solve for x
    x = 55,873,028.82/8,257.65
  6. Step 6: Final answer
    x = 6,766.22

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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.