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Finding the Fourth Proportional to 11,877.66, 17,811.36 and 4,761

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Solution

The fourth proportional to 11,877.66, 17,811.36 and 4,761 is: 7,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.66 : 17,811.36 = 4,761 : x
  2. Step 2: Convert to fraction form
    11,877.66/17,811.36 = 4,761/x
  3. Step 3: Cross multiply
    11,877.66x = 17,811.36 × 4,761
  4. Step 4: Simplify right side
    11,877.66x = 84,799,884.96
  5. Step 5: Solve for x
    x = 84,799,884.96/11,877.66
  6. Step 6: Final answer
    x = 7,139.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.