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Finding the Fourth Proportional to 8,611.50, 11,883.70 and 4,834.66

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Solution

The fourth proportional to 8,611.50, 11,883.70 and 4,834.66 is: 6,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.50 : 11,883.70 = 4,834.66 : x
  2. Step 2: Convert to fraction form
    8,611.50/11,883.70 = 4,834.66/x
  3. Step 3: Cross multiply
    8,611.50x = 11,883.70 × 4,834.66
  4. Step 4: Simplify right side
    8,611.50x = 57,453,649.04
  5. Step 5: Solve for x
    x = 57,453,649.04/8,611.50
  6. Step 6: Final answer
    x = 6,671.74

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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.