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Finding the Fourth Proportional to 8,346.72, 11,514.96 and 7,082.40

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Solution

The fourth proportional to 8,346.72, 11,514.96 and 7,082.40 is: 9,770.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.72 : 11,514.96 = 7,082.40 : x
  2. Step 2: Convert to fraction form
    8,346.72/11,514.96 = 7,082.40/x
  3. Step 3: Cross multiply
    8,346.72x = 11,514.96 × 7,082.40
  4. Step 4: Simplify right side
    8,346.72x = 81,553,552.70
  5. Step 5: Solve for x
    x = 81,553,552.70/8,346.72
  6. Step 6: Final answer
    x = 9,770.73

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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.