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Finding the Fourth Proportional to 6,857.08, 10,263.18 and 3,729.28

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Solution

The fourth proportional to 6,857.08, 10,263.18 and 3,729.28 is: 5,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.08 : 10,263.18 = 3,729.28 : x
  2. Step 2: Convert to fraction form
    6,857.08/10,263.18 = 3,729.28/x
  3. Step 3: Cross multiply
    6,857.08x = 10,263.18 × 3,729.28
  4. Step 4: Simplify right side
    6,857.08x = 38,274,271.91
  5. Step 5: Solve for x
    x = 38,274,271.91/6,857.08
  6. Step 6: Final answer
    x = 5,581.72

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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.