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Finding the Fourth Proportional to 7,146.63, 10,713.33 and 3,855.87

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Solution

The fourth proportional to 7,146.63, 10,713.33 and 3,855.87 is: 5,780.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.63 : 10,713.33 = 3,855.87 : x
  2. Step 2: Convert to fraction form
    7,146.63/10,713.33 = 3,855.87/x
  3. Step 3: Cross multiply
    7,146.63x = 10,713.33 × 3,855.87
  4. Step 4: Simplify right side
    7,146.63x = 41,309,207.75
  5. Step 5: Solve for x
    x = 41,309,207.75/7,146.63
  6. Step 6: Final answer
    x = 5,780.24

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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.