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Finding the Fourth Proportional to 6,368.06, 8,786.40 and 3,713.96

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Solution

The fourth proportional to 6,368.06, 8,786.40 and 3,713.96 is: 5,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.06 : 8,786.40 = 3,713.96 : x
  2. Step 2: Convert to fraction form
    6,368.06/8,786.40 = 3,713.96/x
  3. Step 3: Cross multiply
    6,368.06x = 8,786.40 × 3,713.96
  4. Step 4: Simplify right side
    6,368.06x = 32,632,338.14
  5. Step 5: Solve for x
    x = 32,632,338.14/6,368.06
  6. Step 6: Final answer
    x = 5,124.38

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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.