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Finding the Fourth Proportional to 7,884.90, 11,827.20 and 2,041.38

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Solution

The fourth proportional to 7,884.90, 11,827.20 and 2,041.38 is: 3,062.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.90 : 11,827.20 = 2,041.38 : x
  2. Step 2: Convert to fraction form
    7,884.90/11,827.20 = 2,041.38/x
  3. Step 3: Cross multiply
    7,884.90x = 11,827.20 × 2,041.38
  4. Step 4: Simplify right side
    7,884.90x = 24,143,809.54
  5. Step 5: Solve for x
    x = 24,143,809.54/7,884.90
  6. Step 6: Final answer
    x = 3,062.03

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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.