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Finding the Fourth Proportional to 6,700.74, 10,052.79 and 5,859.96

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Solution

The fourth proportional to 6,700.74, 10,052.79 and 5,859.96 is: 8,791.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.74 : 10,052.79 = 5,859.96 : x
  2. Step 2: Convert to fraction form
    6,700.74/10,052.79 = 5,859.96/x
  3. Step 3: Cross multiply
    6,700.74x = 10,052.79 × 5,859.96
  4. Step 4: Simplify right side
    6,700.74x = 58,908,947.29
  5. Step 5: Solve for x
    x = 58,908,947.29/6,700.74
  6. Step 6: Final answer
    x = 8,791.41

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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.