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Finding the Fourth Proportional to 7,797.06, 10,759.23 and 4,438.98

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Solution

The fourth proportional to 7,797.06, 10,759.23 and 4,438.98 is: 6,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.06 : 10,759.23 = 4,438.98 : x
  2. Step 2: Convert to fraction form
    7,797.06/10,759.23 = 4,438.98/x
  3. Step 3: Cross multiply
    7,797.06x = 10,759.23 × 4,438.98
  4. Step 4: Simplify right side
    7,797.06x = 47,760,006.79
  5. Step 5: Solve for x
    x = 47,760,006.79/7,797.06
  6. Step 6: Final answer
    x = 6,125.39

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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.