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Finding the Fourth Proportional to 7,647.67, 11,461.84 and 4,362.62

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Solution

The fourth proportional to 7,647.67, 11,461.84 and 4,362.62 is: 6,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.67 : 11,461.84 = 4,362.62 : x
  2. Step 2: Convert to fraction form
    7,647.67/11,461.84 = 4,362.62/x
  3. Step 3: Cross multiply
    7,647.67x = 11,461.84 × 4,362.62
  4. Step 4: Simplify right side
    7,647.67x = 50,003,584.21
  5. Step 5: Solve for x
    x = 50,003,584.21/7,647.67
  6. Step 6: Final answer
    x = 6,538.41

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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.