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Finding the Fourth Proportional to 5,207.10, 7,791.21 and 5,148.78

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Solution

The fourth proportional to 5,207.10, 7,791.21 and 5,148.78 is: 7,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.10 : 7,791.21 = 5,148.78 : x
  2. Step 2: Convert to fraction form
    5,207.10/7,791.21 = 5,148.78/x
  3. Step 3: Cross multiply
    5,207.10x = 7,791.21 × 5,148.78
  4. Step 4: Simplify right side
    5,207.10x = 40,115,226.22
  5. Step 5: Solve for x
    x = 40,115,226.22/5,207.10
  6. Step 6: Final answer
    x = 7,703.95

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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.