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Finding the Fourth Proportional to 8,434.80, 11,617.56 and 7,311.60

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Solution

The fourth proportional to 8,434.80, 11,617.56 and 7,311.60 is: 10,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.80 : 11,617.56 = 7,311.60 : x
  2. Step 2: Convert to fraction form
    8,434.80/11,617.56 = 7,311.60/x
  3. Step 3: Cross multiply
    8,434.80x = 11,617.56 × 7,311.60
  4. Step 4: Simplify right side
    8,434.80x = 84,942,951.70
  5. Step 5: Solve for x
    x = 84,942,951.70/8,434.80
  6. Step 6: Final answer
    x = 10,070.54

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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.