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Finding the Fourth Proportional to 7,145.42, 10,713.87 and 6,175.85

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Solution

The fourth proportional to 7,145.42, 10,713.87 and 6,175.85 is: 9,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.42 : 10,713.87 = 6,175.85 : x
  2. Step 2: Convert to fraction form
    7,145.42/10,713.87 = 6,175.85/x
  3. Step 3: Cross multiply
    7,145.42x = 10,713.87 × 6,175.85
  4. Step 4: Simplify right side
    7,145.42x = 66,167,200.47
  5. Step 5: Solve for x
    x = 66,167,200.47/7,145.42
  6. Step 6: Final answer
    x = 9,260.09

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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.