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Finding the Fourth Proportional to 6,857.45, 10,282.63 and 3,347.62

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Solution

The fourth proportional to 6,857.45, 10,282.63 and 3,347.62 is: 5,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.45 : 10,282.63 = 3,347.62 : x
  2. Step 2: Convert to fraction form
    6,857.45/10,282.63 = 3,347.62/x
  3. Step 3: Cross multiply
    6,857.45x = 10,282.63 × 3,347.62
  4. Step 4: Simplify right side
    6,857.45x = 34,422,337.84
  5. Step 5: Solve for x
    x = 34,422,337.84/6,857.45
  6. Step 6: Final answer
    x = 5,019.70

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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.