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Finding the Fourth Proportional to 7,638.41, 11,456.07 and 4,473.95

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Solution

The fourth proportional to 7,638.41, 11,456.07 and 4,473.95 is: 6,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.41 : 11,456.07 = 4,473.95 : x
  2. Step 2: Convert to fraction form
    7,638.41/11,456.07 = 4,473.95/x
  3. Step 3: Cross multiply
    7,638.41x = 11,456.07 × 4,473.95
  4. Step 4: Simplify right side
    7,638.41x = 51,253,884.38
  5. Step 5: Solve for x
    x = 51,253,884.38/7,638.41
  6. Step 6: Final answer
    x = 6,710.02

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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.