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Finding the Fourth Proportional to 6,757.21, 9,316.51 and 5,165.83

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Solution

The fourth proportional to 6,757.21, 9,316.51 and 5,165.83 is: 7,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.21 : 9,316.51 = 5,165.83 : x
  2. Step 2: Convert to fraction form
    6,757.21/9,316.51 = 5,165.83/x
  3. Step 3: Cross multiply
    6,757.21x = 9,316.51 × 5,165.83
  4. Step 4: Simplify right side
    6,757.21x = 48,127,506.85
  5. Step 5: Solve for x
    x = 48,127,506.85/6,757.21
  6. Step 6: Final answer
    x = 7,122.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.