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Finding the Fourth Proportional to 7,139.68, 10,714.14 and 3,855.04

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Solution

The fourth proportional to 7,139.68, 10,714.14 and 3,855.04 is: 5,785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.68 : 10,714.14 = 3,855.04 : x
  2. Step 2: Convert to fraction form
    7,139.68/10,714.14 = 3,855.04/x
  3. Step 3: Cross multiply
    7,139.68x = 10,714.14 × 3,855.04
  4. Step 4: Simplify right side
    7,139.68x = 41,303,438.27
  5. Step 5: Solve for x
    x = 41,303,438.27/7,139.68
  6. Step 6: Final answer
    x = 5,785.05

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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.