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Finding the Fourth Proportional to 7,884.41, 11,830.11 and 4,185.75

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Solution

The fourth proportional to 7,884.41, 11,830.11 and 4,185.75 is: 6,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.41 : 11,830.11 = 4,185.75 : x
  2. Step 2: Convert to fraction form
    7,884.41/11,830.11 = 4,185.75/x
  3. Step 3: Cross multiply
    7,884.41x = 11,830.11 × 4,185.75
  4. Step 4: Simplify right side
    7,884.41x = 49,517,842.89
  5. Step 5: Solve for x
    x = 49,517,842.89/7,884.41
  6. Step 6: Final answer
    x = 6,280.48

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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.