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Finding the Fourth Proportional to 8,148.34, 11,244.90 and 4,611.70

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Solution

The fourth proportional to 8,148.34, 11,244.90 and 4,611.70 is: 6,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.34 : 11,244.90 = 4,611.70 : x
  2. Step 2: Convert to fraction form
    8,148.34/11,244.90 = 4,611.70/x
  3. Step 3: Cross multiply
    8,148.34x = 11,244.90 × 4,611.70
  4. Step 4: Simplify right side
    8,148.34x = 51,858,105.33
  5. Step 5: Solve for x
    x = 51,858,105.33/8,148.34
  6. Step 6: Final answer
    x = 6,364.25

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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.