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Finding the Fourth Proportional to 7,791.10, 11,675.76 and 4,281.82

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Solution

The fourth proportional to 7,791.10, 11,675.76 and 4,281.82 is: 6,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.10 : 11,675.76 = 4,281.82 : x
  2. Step 2: Convert to fraction form
    7,791.10/11,675.76 = 4,281.82/x
  3. Step 3: Cross multiply
    7,791.10x = 11,675.76 × 4,281.82
  4. Step 4: Simplify right side
    7,791.10x = 49,993,502.68
  5. Step 5: Solve for x
    x = 49,993,502.68/7,791.10
  6. Step 6: Final answer
    x = 6,416.75

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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.