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Finding the Fourth Proportional to 7,098.36, 10,647.50 and 2,167.98

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Solution

The fourth proportional to 7,098.36, 10,647.50 and 2,167.98 is: 3,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.36 : 10,647.50 = 2,167.98 : x
  2. Step 2: Convert to fraction form
    7,098.36/10,647.50 = 2,167.98/x
  3. Step 3: Cross multiply
    7,098.36x = 10,647.50 × 2,167.98
  4. Step 4: Simplify right side
    7,098.36x = 23,083,556.21
  5. Step 5: Solve for x
    x = 23,083,556.21/7,098.36
  6. Step 6: Final answer
    x = 3,251.96

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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.