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Finding the Fourth Proportional to 7,175.46, 10,766.88 and 2,961.84

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Solution

The fourth proportional to 7,175.46, 10,766.88 and 2,961.84 is: 4,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.46 : 10,766.88 = 2,961.84 : x
  2. Step 2: Convert to fraction form
    7,175.46/10,766.88 = 2,961.84/x
  3. Step 3: Cross multiply
    7,175.46x = 10,766.88 × 2,961.84
  4. Step 4: Simplify right side
    7,175.46x = 31,889,775.86
  5. Step 5: Solve for x
    x = 31,889,775.86/7,175.46
  6. Step 6: Final answer
    x = 4,444.28

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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.