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Finding the Fourth Proportional to 7,751.62, 10,701.31 and 6,222.54

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Solution

The fourth proportional to 7,751.62, 10,701.31 and 6,222.54 is: 8,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.62 : 10,701.31 = 6,222.54 : x
  2. Step 2: Convert to fraction form
    7,751.62/10,701.31 = 6,222.54/x
  3. Step 3: Cross multiply
    7,751.62x = 10,701.31 × 6,222.54
  4. Step 4: Simplify right side
    7,751.62x = 66,589,329.53
  5. Step 5: Solve for x
    x = 66,589,329.53/7,751.62
  6. Step 6: Final answer
    x = 8,590.38

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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.