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Finding the Fourth Proportional to 7,863.40, 11,791.10 and 4,577.16

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Solution

The fourth proportional to 7,863.40, 11,791.10 and 4,577.16 is: 6,863.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.40 : 11,791.10 = 4,577.16 : x
  2. Step 2: Convert to fraction form
    7,863.40/11,791.10 = 4,577.16/x
  3. Step 3: Cross multiply
    7,863.40x = 11,791.10 × 4,577.16
  4. Step 4: Simplify right side
    7,863.40x = 53,969,751.28
  5. Step 5: Solve for x
    x = 53,969,751.28/7,863.40
  6. Step 6: Final answer
    x = 6,863.41

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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.