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Finding the Fourth Proportional to 6,713.82, 10,070.70 and 2,552.85

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Solution

The fourth proportional to 6,713.82, 10,070.70 and 2,552.85 is: 3,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.82 : 10,070.70 = 2,552.85 : x
  2. Step 2: Convert to fraction form
    6,713.82/10,070.70 = 2,552.85/x
  3. Step 3: Cross multiply
    6,713.82x = 10,070.70 × 2,552.85
  4. Step 4: Simplify right side
    6,713.82x = 25,708,986.50
  5. Step 5: Solve for x
    x = 25,708,986.50/6,713.82
  6. Step 6: Final answer
    x = 3,829.26

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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.