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Finding the Fourth Proportional to 7,678.62, 11,517.12 and 2,483.28

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Solution

The fourth proportional to 7,678.62, 11,517.12 and 2,483.28 is: 3,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.62 : 11,517.12 = 2,483.28 : x
  2. Step 2: Convert to fraction form
    7,678.62/11,517.12 = 2,483.28/x
  3. Step 3: Cross multiply
    7,678.62x = 11,517.12 × 2,483.28
  4. Step 4: Simplify right side
    7,678.62x = 28,600,233.75
  5. Step 5: Solve for x
    x = 28,600,233.75/7,678.62
  6. Step 6: Final answer
    x = 3,724.66

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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.