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Finding the Fourth Proportional to 11,383.68, 17,082.72 and 4,458

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Solution

The fourth proportional to 11,383.68, 17,082.72 and 4,458 is: 6,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.68 : 17,082.72 = 4,458 : x
  2. Step 2: Convert to fraction form
    11,383.68/17,082.72 = 4,458/x
  3. Step 3: Cross multiply
    11,383.68x = 17,082.72 × 4,458
  4. Step 4: Simplify right side
    11,383.68x = 76,154,765.76
  5. Step 5: Solve for x
    x = 76,154,765.76/11,383.68
  6. Step 6: Final answer
    x = 6,689.82

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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.