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Finding the Fourth Proportional to 7,738.68, 11,609.70 and 2,475.30

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Solution

The fourth proportional to 7,738.68, 11,609.70 and 2,475.30 is: 3,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.68 : 11,609.70 = 2,475.30 : x
  2. Step 2: Convert to fraction form
    7,738.68/11,609.70 = 2,475.30/x
  3. Step 3: Cross multiply
    7,738.68x = 11,609.70 × 2,475.30
  4. Step 4: Simplify right side
    7,738.68x = 28,737,490.41
  5. Step 5: Solve for x
    x = 28,737,490.41/7,738.68
  6. Step 6: Final answer
    x = 3,713.49

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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.