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Finding the Fourth Proportional to 7,454.32, 11,175.84 and 4,531.84

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Solution

The fourth proportional to 7,454.32, 11,175.84 and 4,531.84 is: 6,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.32 : 11,175.84 = 4,531.84 : x
  2. Step 2: Convert to fraction form
    7,454.32/11,175.84 = 4,531.84/x
  3. Step 3: Cross multiply
    7,454.32x = 11,175.84 × 4,531.84
  4. Step 4: Simplify right side
    7,454.32x = 50,647,118.75
  5. Step 5: Solve for x
    x = 50,647,118.75/7,454.32
  6. Step 6: Final answer
    x = 6,794.33

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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.