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Finding the Fourth Proportional to 7,638.91, 11,456.82 and 4,474.45

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Solution

The fourth proportional to 7,638.91, 11,456.82 and 4,474.45 is: 6,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.91 : 11,456.82 = 4,474.45 : x
  2. Step 2: Convert to fraction form
    7,638.91/11,456.82 = 4,474.45/x
  3. Step 3: Cross multiply
    7,638.91x = 11,456.82 × 4,474.45
  4. Step 4: Simplify right side
    7,638.91x = 51,262,968.25
  5. Step 5: Solve for x
    x = 51,262,968.25/7,638.91
  6. Step 6: Final answer
    x = 6,710.77

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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.