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Finding the Fourth Proportional to 7,884.89, 11,830.82 and 4,186.22

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Solution

The fourth proportional to 7,884.89, 11,830.82 and 4,186.22 is: 6,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.89 : 11,830.82 = 4,186.22 : x
  2. Step 2: Convert to fraction form
    7,884.89/11,830.82 = 4,186.22/x
  3. Step 3: Cross multiply
    7,884.89x = 11,830.82 × 4,186.22
  4. Step 4: Simplify right side
    7,884.89x = 49,526,394.37
  5. Step 5: Solve for x
    x = 49,526,394.37/7,884.89
  6. Step 6: Final answer
    x = 6,281.18

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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.