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Finding the Fourth Proportional to 7,972.62, 11,000.17 and 4,435.14

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Solution

The fourth proportional to 7,972.62, 11,000.17 and 4,435.14 is: 6,119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.62 : 11,000.17 = 4,435.14 : x
  2. Step 2: Convert to fraction form
    7,972.62/11,000.17 = 4,435.14/x
  3. Step 3: Cross multiply
    7,972.62x = 11,000.17 × 4,435.14
  4. Step 4: Simplify right side
    7,972.62x = 48,787,293.97
  5. Step 5: Solve for x
    x = 48,787,293.97/7,972.62
  6. Step 6: Final answer
    x = 6,119.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.