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Finding the Fourth Proportional to 6,751.89, 10,123.11 and 3,237.71

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Solution

The fourth proportional to 6,751.89, 10,123.11 and 3,237.71 is: 4,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.89 : 10,123.11 = 3,237.71 : x
  2. Step 2: Convert to fraction form
    6,751.89/10,123.11 = 3,237.71/x
  3. Step 3: Cross multiply
    6,751.89x = 10,123.11 × 3,237.71
  4. Step 4: Simplify right side
    6,751.89x = 32,775,643.86
  5. Step 5: Solve for x
    x = 32,775,643.86/6,751.89
  6. Step 6: Final answer
    x = 4,854.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.