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Finding the Fourth Proportional to 7,175.37, 10,758.10 and 3,658.56

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Solution

The fourth proportional to 7,175.37, 10,758.10 and 3,658.56 is: 5,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.37 : 10,758.10 = 3,658.56 : x
  2. Step 2: Convert to fraction form
    7,175.37/10,758.10 = 3,658.56/x
  3. Step 3: Cross multiply
    7,175.37x = 10,758.10 × 3,658.56
  4. Step 4: Simplify right side
    7,175.37x = 39,359,154.34
  5. Step 5: Solve for x
    x = 39,359,154.34/7,175.37
  6. Step 6: Final answer
    x = 5,485.31

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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.