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Finding the Fourth Proportional to 8,102.46, 12,153.21 and 2,907.66

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Solution

The fourth proportional to 8,102.46, 12,153.21 and 2,907.66 is: 4,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.46 : 12,153.21 = 2,907.66 : x
  2. Step 2: Convert to fraction form
    8,102.46/12,153.21 = 2,907.66/x
  3. Step 3: Cross multiply
    8,102.46x = 12,153.21 × 2,907.66
  4. Step 4: Simplify right side
    8,102.46x = 35,337,402.59
  5. Step 5: Solve for x
    x = 35,337,402.59/8,102.46
  6. Step 6: Final answer
    x = 4,361.32

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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.