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Finding the Fourth Proportional to 8,153.34, 12,231.90 and 2,607.06

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Solution

The fourth proportional to 8,153.34, 12,231.90 and 2,607.06 is: 3,911.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.34 : 12,231.90 = 2,607.06 : x
  2. Step 2: Convert to fraction form
    8,153.34/12,231.90 = 2,607.06/x
  3. Step 3: Cross multiply
    8,153.34x = 12,231.90 × 2,607.06
  4. Step 4: Simplify right side
    8,153.34x = 31,889,297.21
  5. Step 5: Solve for x
    x = 31,889,297.21/8,153.34
  6. Step 6: Final answer
    x = 3,911.19

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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.