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Finding the Fourth Proportional to 6,713.42, 10,070.82 and 3,202.83

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Solution

The fourth proportional to 6,713.42, 10,070.82 and 3,202.83 is: 4,804.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.42 : 10,070.82 = 3,202.83 : x
  2. Step 2: Convert to fraction form
    6,713.42/10,070.82 = 3,202.83/x
  3. Step 3: Cross multiply
    6,713.42x = 10,070.82 × 3,202.83
  4. Step 4: Simplify right side
    6,713.42x = 32,255,124.42
  5. Step 5: Solve for x
    x = 32,255,124.42/6,713.42
  6. Step 6: Final answer
    x = 4,804.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.