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Finding the Fourth Proportional to 8,416.80, 11,611.29 and 5,433.60

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Solution

The fourth proportional to 8,416.80, 11,611.29 and 5,433.60 is: 7,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.80 : 11,611.29 = 5,433.60 : x
  2. Step 2: Convert to fraction form
    8,416.80/11,611.29 = 5,433.60/x
  3. Step 3: Cross multiply
    8,416.80x = 11,611.29 × 5,433.60
  4. Step 4: Simplify right side
    8,416.80x = 63,091,105.34
  5. Step 5: Solve for x
    x = 63,091,105.34/8,416.80
  6. Step 6: Final answer
    x = 7,495.85

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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.