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Finding the Fourth Proportional to 7,713.96, 10,645.22 and 4,177.12

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Solution

The fourth proportional to 7,713.96, 10,645.22 and 4,177.12 is: 5,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.96 : 10,645.22 = 4,177.12 : x
  2. Step 2: Convert to fraction form
    7,713.96/10,645.22 = 4,177.12/x
  3. Step 3: Cross multiply
    7,713.96x = 10,645.22 × 4,177.12
  4. Step 4: Simplify right side
    7,713.96x = 44,466,361.37
  5. Step 5: Solve for x
    x = 44,466,361.37/7,713.96
  6. Step 6: Final answer
    x = 5,764.40

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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.