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Finding the Fourth Proportional to 11,396.64, 17,082 and 4,818.72

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Solution

The fourth proportional to 11,396.64, 17,082 and 4,818.72 is: 7,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.64 : 17,082 = 4,818.72 : x
  2. Step 2: Convert to fraction form
    11,396.64/17,082 = 4,818.72/x
  3. Step 3: Cross multiply
    11,396.64x = 17,082 × 4,818.72
  4. Step 4: Simplify right side
    11,396.64x = 82,313,375.04
  5. Step 5: Solve for x
    x = 82,313,375.04/11,396.64
  6. Step 6: Final answer
    x = 7,222.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.