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Finding the Fourth Proportional to 11,877.60, 17,817.48 and 4,086.48

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Solution

The fourth proportional to 11,877.60, 17,817.48 and 4,086.48 is: 6,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.60 : 17,817.48 = 4,086.48 : x
  2. Step 2: Convert to fraction form
    11,877.60/17,817.48 = 4,086.48/x
  3. Step 3: Cross multiply
    11,877.60x = 17,817.48 × 4,086.48
  4. Step 4: Simplify right side
    11,877.60x = 72,810,775.67
  5. Step 5: Solve for x
    x = 72,810,775.67/11,877.60
  6. Step 6: Final answer
    x = 6,130.09

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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.