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Finding the Fourth Proportional to 11,972.32, 17,959.72 and 4,583

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Solution

The fourth proportional to 11,972.32, 17,959.72 and 4,583 is: 6,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,972.32 : 17,959.72 = 4,583 : x
  2. Step 2: Convert to fraction form
    11,972.32/17,959.72 = 4,583/x
  3. Step 3: Cross multiply
    11,972.32x = 17,959.72 × 4,583
  4. Step 4: Simplify right side
    11,972.32x = 82,309,396.76
  5. Step 5: Solve for x
    x = 82,309,396.76/11,972.32
  6. Step 6: Final answer
    x = 6,874.97

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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.