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Finding the Fourth Proportional to 7,137.67, 10,708.70 and 3,192.25

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Solution

The fourth proportional to 7,137.67, 10,708.70 and 3,192.25 is: 4,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.67 : 10,708.70 = 3,192.25 : x
  2. Step 2: Convert to fraction form
    7,137.67/10,708.70 = 3,192.25/x
  3. Step 3: Cross multiply
    7,137.67x = 10,708.70 × 3,192.25
  4. Step 4: Simplify right side
    7,137.67x = 34,184,794.00
  5. Step 5: Solve for x
    x = 34,184,794.00/7,137.67
  6. Step 6: Final answer
    x = 4,789.35

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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.