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Finding the Fourth Proportional to 11,297.10, 16,982.10 and 8,032.80

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Solution

The fourth proportional to 11,297.10, 16,982.10 and 8,032.80 is: 12,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.10 : 16,982.10 = 8,032.80 : x
  2. Step 2: Convert to fraction form
    11,297.10/16,982.10 = 8,032.80/x
  3. Step 3: Cross multiply
    11,297.10x = 16,982.10 × 8,032.80
  4. Step 4: Simplify right side
    11,297.10x = 136,413,812.88
  5. Step 5: Solve for x
    x = 136,413,812.88/11,297.10
  6. Step 6: Final answer
    x = 12,075.12

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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.