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Finding the Fourth Proportional to 8,442.44, 11,645.70 and 5,082.92

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Solution

The fourth proportional to 8,442.44, 11,645.70 and 5,082.92 is: 7,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.44 : 11,645.70 = 5,082.92 : x
  2. Step 2: Convert to fraction form
    8,442.44/11,645.70 = 5,082.92/x
  3. Step 3: Cross multiply
    8,442.44x = 11,645.70 × 5,082.92
  4. Step 4: Simplify right side
    8,442.44x = 59,194,161.44
  5. Step 5: Solve for x
    x = 59,194,161.44/8,442.44
  6. Step 6: Final answer
    x = 7,011.50

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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.