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Finding the Fourth Proportional to 11,847.64, 17,770.02 and 4,055.80

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Solution

The fourth proportional to 11,847.64, 17,770.02 and 4,055.80 is: 6,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.64 : 17,770.02 = 4,055.80 : x
  2. Step 2: Convert to fraction form
    11,847.64/17,770.02 = 4,055.80/x
  3. Step 3: Cross multiply
    11,847.64x = 17,770.02 × 4,055.80
  4. Step 4: Simplify right side
    11,847.64x = 72,071,647.12
  5. Step 5: Solve for x
    x = 72,071,647.12/11,847.64
  6. Step 6: Final answer
    x = 6,083.21

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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.