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Finding the Fourth Proportional to 8,157.81, 11,257.35 and 4,620.80

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Solution

The fourth proportional to 8,157.81, 11,257.35 and 4,620.80 is: 6,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.81 : 11,257.35 = 4,620.80 : x
  2. Step 2: Convert to fraction form
    8,157.81/11,257.35 = 4,620.80/x
  3. Step 3: Cross multiply
    8,157.81x = 11,257.35 × 4,620.80
  4. Step 4: Simplify right side
    8,157.81x = 52,017,949.36
  5. Step 5: Solve for x
    x = 52,017,949.36/8,157.81
  6. Step 6: Final answer
    x = 6,376.46

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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.