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Finding the Fourth Proportional to 7,175, 10,766.16 and 3,280.32

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Solution

The fourth proportional to 7,175, 10,766.16 and 3,280.32 is: 4,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175 : 10,766.16 = 3,280.32 : x
  2. Step 2: Convert to fraction form
    7,175/10,766.16 = 3,280.32/x
  3. Step 3: Cross multiply
    7,175x = 10,766.16 × 3,280.32
  4. Step 4: Simplify right side
    7,175x = 35,316,449.97
  5. Step 5: Solve for x
    x = 35,316,449.97/7,175
  6. Step 6: Final answer
    x = 4,922.15

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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.