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Finding the Fourth Proportional to 7,756.12, 11,640.92 and 4,431.02

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Solution

The fourth proportional to 7,756.12, 11,640.92 and 4,431.02 is: 6,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.12 : 11,640.92 = 4,431.02 : x
  2. Step 2: Convert to fraction form
    7,756.12/11,640.92 = 4,431.02/x
  3. Step 3: Cross multiply
    7,756.12x = 11,640.92 × 4,431.02
  4. Step 4: Simplify right side
    7,756.12x = 51,581,149.34
  5. Step 5: Solve for x
    x = 51,581,149.34/7,756.12
  6. Step 6: Final answer
    x = 6,650.38

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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.